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16161696 = 2532173301
BaseRepresentation
bin111101101001…
…101110100000
31010102002200100
4331221232200
513114133241
61334222400
7254241435
oct75515640
933362610
1016161696
119139581
1254b4a00
13346b345
142209b8c
1516439b6
hexf69ba0

16161696 has 72 divisors (see below), whose sum is σ = 48678084. Its totient is φ = 5068800.

The previous prime is 16161653. The next prime is 16161727. The reversal of 16161696 is 69616161.

It can be written as a sum of positive squares in 2 ways, for example, as 16160400 + 1296 = 4020^2 + 36^2 .

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

It is a super-2 number, since 2×161616962 = 522400835192832, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

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 16161696.

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 11 ways as a sum of consecutive naturals, for example, 3246 + ... + 6546.

Almost surely, 216161696 is an apocalyptic number.

16161696 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 16161696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24339042).

16161696 is an abundant number, since it is smaller than the sum of its proper divisors (32516388).

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

16161696 is a wasteful number, since it uses less digits than its factorization.

16161696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3334 (or 3323 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 16161696 is about 4020.1611907982. The cubic root of 16161696 is about 252.8302172393.

The spelling of 16161696 in words is "sixteen million, one hundred sixty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 3301 4896 6602 9903 13204 19806 26408 29709 39612 52816 56117 59418 79224 105632 112234 118836 158448 168351 224468 237672 316896 336702 448936 475344 505053 673404 897872 950688 1010106 1346808 1795744 2020212 2693616 4040424 5387232 8080848 16161696