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15420096 = 2632191409
BaseRepresentation
bin111010110100…
…101011000000
31002000102101200
4322310223000
512421420341
61310301200
7245032356
oct72645300
932012350
1015420096
11878238a
1251b7800
13326b923
1420957d6
151548db6
hexeb4ac0

15420096 has 84 divisors (see below), whose sum is σ = 46558200. Its totient is φ = 4866048.

The previous prime is 15420079. The next prime is 15420103. The reversal of 15420096 is 69002451.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10240 + ... + 11648.

Almost surely, 215420096 is an apocalyptic number.

15420096 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 15420096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23279100).

15420096 is an abundant number, since it is smaller than the sum of its proper divisors (31138104).

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

15420096 is a wasteful number, since it uses less digits than its factorization.

15420096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 15420096 is about 3926.8430067931. The cubic root of 15420096 is about 248.9023665226.

The spelling of 15420096 in words is "fifteen million, four hundred twenty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 288 304 342 456 576 608 684 912 1216 1368 1409 1824 2736 2818 3648 4227 5472 5636 8454 10944 11272 12681 16908 22544 25362 26771 33816 45088 50724 53542 67632 80313 90176 101448 107084 135264 160626 202896 214168 240939 270528 321252 405792 428336 481878 642504 811584 856672 963756 1285008 1713344 1927512 2570016 3855024 5140032 7710048 15420096