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16125696 = 28332333
BaseRepresentation
bin111101100000…
…111100000000
31010100021022000
4331200330000
513112010241
61333344000
7254031456
oct75407400
933307260
1016125696
119114524
125498000
133457b42
1421da9d6
151637eb6
hexf60f00

16125696 has 72 divisors (see below), whose sum is σ = 47706960. Its totient is φ = 5372928.

The previous prime is 16125689. The next prime is 16125721. The reversal of 16125696 is 69652161.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 16125696.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5746 + ... + 8078.

Almost surely, 216125696 is an apocalyptic number.

16125696 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 16125696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23853480).

16125696 is an abundant number, since it is smaller than the sum of its proper divisors (31581264).

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

16125696 is an equidigital number, since it uses as much as digits as its factorization.

16125696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2358 (or 2338 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 16125696 is about 4015.6812622518. The cubic root of 16125696 is about 252.6423521722.

The spelling of 16125696 in words is "sixteen million, one hundred twenty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 2333 3456 4666 6912 6999 9332 13998 18664 20997 27996 37328 41994 55992 62991 74656 83988 111984 125982 149312 167976 223968 251964 298624 335952 447936 503928 597248 671904 895872 1007856 1343808 1791744 2015712 2687616 4031424 5375232 8062848 16125696