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15000096 = 2533741103
BaseRepresentation
bin111001001110…
…001000100000
31001020002021010
4321032020200
512320000341
61253300520
7241333026
oct71161040
931202233
1015000096
118515881
125034740
1331526c7
141dc6716
1514b4716
hexe4e220

15000096 has 96 divisors (see below), whose sum is σ = 41827968. Its totient is φ = 4700160.

The previous prime is 15000079. The next prime is 15000127. The reversal of 15000096 is 69000051.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145581 + ... + 145683.

It is an arithmetic number, because the mean of its divisors is an integer number (435708).

Almost surely, 215000096 is an apocalyptic number.

15000096 is a gapful number since it is divisible by the number (16) 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 15000096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20913984).

15000096 is an abundant number, since it is smaller than the sum of its proper divisors (26827872).

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

15000096 is a wasteful number, since it uses less digits than its factorization.

15000096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 15000096 is about 3872.9957397343. The cubic root of 15000096 is about 246.6217335572.

The spelling of 15000096 in words is "fifteen million, ninety-six", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 37 41 48 74 82 96 103 111 123 148 164 206 222 246 296 309 328 412 444 492 592 618 656 824 888 984 1184 1236 1312 1517 1648 1776 1968 2472 3034 3296 3552 3811 3936 4223 4551 4944 6068 7622 8446 9102 9888 11433 12136 12669 15244 16892 18204 22866 24272 25338 30488 33784 36408 45732 48544 50676 60976 67568 72816 91464 101352 121952 135136 145632 156251 182928 202704 312502 365856 405408 468753 625004 937506 1250008 1875012 2500016 3750024 5000032 7500048 15000096