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104151520 = 2551117592
BaseRepresentation
bin1100011010100…
…11100111100000
321020222110000201
412031103213200
5203130322040
614200154544
72403162514
oct615234740
9236873021
10104151520
1153877640
122aa68a54
1318768325
14db92144
159224a9a
hex63539e0

104151520 has 144 divisors (see below), whose sum is σ = 289115568. Its totient is φ = 35041280.

The previous prime is 104151493. The next prime is 104151539. The reversal of 104151520 is 25151401.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1765251 + ... + 1765309.

It is an arithmetic number, because the mean of its divisors is an integer number (2007747).

Almost surely, 2104151520 is an apocalyptic number.

104151520 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 104151520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144557784).

104151520 is an abundant number, since it is smaller than the sum of its proper divisors (184964048).

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

104151520 is a wasteful number, since it uses less digits than its factorization.

104151520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 19.

The square root of 104151520 is about 10205.4652025275. The cubic root of 104151520 is about 470.4952076406.

It can be divided in two parts, 10415 and 1520, that added together give a triangular number (11935 = T154).

The spelling of 104151520 in words is "one hundred four million, one hundred fifty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 17 20 22 32 34 40 44 55 59 68 80 85 88 110 118 136 160 170 176 187 220 236 272 295 340 352 374 440 472 544 590 649 680 748 880 935 944 1003 1180 1298 1360 1496 1760 1870 1888 2006 2360 2596 2720 2992 3245 3481 3740 4012 4720 5015 5192 5984 6490 6962 7480 8024 9440 10030 10384 11033 12980 13924 14960 16048 17405 20060 20768 22066 25960 27848 29920 32096 34810 38291 40120 44132 51920 55165 55696 59177 69620 76582 80240 88264 103840 110330 111392 118354 139240 153164 160480 176528 191455 220660 236708 278480 295885 306328 353056 382910 441320 473416 556960 591770 612656 650947 765820 882640 946832 1183540 1225312 1301894 1531640 1765280 1893664 2367080 2603788 3063280 3254735 4734160 5207576 6126560 6509470 9468320 10415152 13018940 20830304 26037880 52075760 104151520