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139813740 = 2232511241293
BaseRepresentation
bin10000101010101…
…10001101101100
3100202002021101200
420111112031230
5241243014430
621512405500
73315253143
oct1025261554
9322067350
10139813740
1171a15150
123a9a6890
1322c73631
14147d675a
15c41b460
hex855636c

139813740 has 144 divisors (see below), whose sum is σ = 466161696. Its totient is φ = 33638400.

The previous prime is 139813733. The next prime is 139813741. The reversal of 139813740 is 47318931.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 139813695 and 139813704.

It is not an unprimeable number, because it can be changed into a prime (139813741) 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, 477034 + ... + 477326.

It is an arithmetic number, because the mean of its divisors is an integer number (3237234).

Almost surely, 2139813740 is an apocalyptic number.

139813740 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 139813740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233080848).

139813740 is an abundant number, since it is smaller than the sum of its proper divisors (326347956).

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

139813740 is a wasteful number, since it uses less digits than its factorization.

139813740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 139813740 is about 11824.2860249573. The cubic root of 139813740 is about 519.0190332379.

The spelling of 139813740 in words is "one hundred thirty-nine million, eight hundred thirteen thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 241 293 330 396 482 495 586 660 723 879 964 990 1172 1205 1446 1465 1758 1980 2169 2410 2637 2651 2892 2930 3223 3516 3615 4338 4395 4820 5274 5302 5860 6446 7230 7953 8676 8790 9669 10548 10604 10845 12892 13185 13255 14460 15906 16115 17580 19338 21690 23859 26370 26510 29007 31812 32230 38676 39765 43380 47718 48345 52740 53020 58014 64460 70613 79530 95436 96690 116028 119295 141226 145035 159060 193380 211839 238590 282452 290070 353065 423678 477180 580140 635517 706130 776743 847356 1059195 1271034 1412260 1553486 2118390 2330229 2542068 3106972 3177585 3883715 4236780 4660458 6355170 6990687 7767430 9320916 11651145 12710340 13981374 15534860 23302290 27962748 34953435 46604580 69906870 139813740