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1230127740 = 2232531892477
BaseRepresentation
bin100100101010010…
…0100001001111100
310011201200222000200
41021110210021330
510004403041430
6322021523500
742324625152
oct11124441174
93151628020
101230127740
115814141a6
122a3b73590
13167b1264a
14b95333d2
1572edc460
hex4952427c

1230127740 has 144 divisors (see below), whose sum is σ = 3896605440. Its totient is φ = 313758720.

The previous prime is 1230127733. The next prime is 1230127741. The reversal of 1230127740 is 477210321.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230127741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 495382 + ... + 497858.

It is an arithmetic number, because the mean of its divisors is an integer number (27059760).

Almost surely, 21230127740 is an apocalyptic number.

1230127740 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 1230127740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1948302720).

1230127740 is an abundant number, since it is smaller than the sum of its proper divisors (2666477700).

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

1230127740 is a wasteful number, since it uses less digits than its factorization.

1230127740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2612 (or 2607 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 1230127740 is about 35073.1769305263. The cubic root of 1230127740 is about 1071.4783594388.

The spelling of 1230127740 in words is "one billion, two hundred thirty million, one hundred twenty-seven thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 60 62 89 90 93 124 155 178 180 186 267 279 310 356 372 445 465 534 558 620 801 890 930 1068 1116 1335 1395 1602 1780 1860 2477 2670 2759 2790 3204 4005 4954 5340 5518 5580 7431 8010 8277 9908 11036 12385 13795 14862 16020 16554 22293 24770 24831 27590 29724 33108 37155 41385 44586 49540 49662 55180 74310 76787 82770 89172 99324 111465 124155 148620 153574 165540 220453 222930 230361 248310 307148 383935 440906 445860 460722 496620 661359 691083 767870 881812 921444 1102265 1151805 1322718 1382166 1535740 1984077 2204530 2303610 2645436 2764332 3306795 3455415 3968154 4409060 4607220 6613590 6834043 6910830 7936308 9920385 13227180 13668086 13821660 19840770 20502129 27336172 34170215 39681540 41004258 61506387 68340430 82008516 102510645 123012774 136680860 205021290 246025548 307531935 410042580 615063870 1230127740