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103270537840 = 24517975411447
BaseRepresentation
bin110000000101101100…
…1110101101001110000
3100212120002201212201211
41200023121311221300
53142444224202330
6115235234005504
710314066042151
oct1401331655160
9325502655654
10103270537840
113a884587638
1218021116894
13997a277832
144dd956b928
152a4641cd2a
hex180b675a70

103270537840 has 160 divisors (see below), whose sum is σ = 257501268864. Its totient is φ = 38379847680.

The previous prime is 103270537787. The next prime is 103270537871. The reversal of 103270537840 is 48735072301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 103270537793 and 103270537802.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71367997 + ... + 71369443.

Almost surely, 2103270537840 is an apocalyptic number.

103270537840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103270537840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128750634432).

103270537840 is an abundant number, since it is smaller than the sum of its proper divisors (154230731024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103270537840 is a wasteful number, since it uses less digits than its factorization.

103270537840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2115 (or 2109 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 40.

The spelling of 103270537840 in words is "one hundred three billion, two hundred seventy million, five hundred thirty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 97 136 170 194 272 340 388 485 541 680 776 970 1082 1360 1447 1552 1649 1940 2164 2705 2894 3298 3880 4328 5410 5788 6596 7235 7760 8245 8656 9197 10820 11576 13192 14470 16490 18394 21640 23152 24599 26384 28940 32980 36788 43280 45985 49198 52477 57880 65960 73576 91970 98396 104954 115760 122995 131920 140359 147152 183940 196792 209908 245990 262385 280718 367880 393584 419816 491980 524770 561436 701795 735760 782827 839632 892109 983960 1049540 1122872 1403590 1565654 1784218 1967920 2099080 2245744 2386103 2807180 3131308 3568436 3914135 4198160 4460545 4772206 5614360 6262616 7136872 7828270 8921090 9544412 11228720 11930515 12525232 13308059 14273744 15656540 17842180 19088824 23861030 26616118 31313080 35684360 38177648 47722060 53232236 62626160 66540295 71368720 75934219 95444120 106464472 133080590 151868438 190888240 212928944 266161180 303736876 379671095 532322360 607473752 759342190 1064644720 1214947504 1290881723 1518684380 2581763446 3037368760 5163526892 6074737520 6454408615 10327053784 12908817230 20654107568 25817634460 51635268920 103270537840