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16413696 = 2103213137
BaseRepresentation
bin111110100111…
…010000000000
31010212220100200
4332213100000
513200214241
61343445200
7256341225
oct76472000
933786320
1016413696
1192a0942
1255b6800
133528c60
14227394c
1516934b6
hexfa7400

16413696 has 132 divisors (see below), whose sum is σ = 51412452. Its totient is φ = 5013504.

The previous prime is 16413673. The next prime is 16413707. The reversal of 16413696 is 69631461.

16413696 is a `hidden beast` number, since 1 + 641 + 3 + 6 + 9 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5760000 + 10653696 = 2400^2 + 3264^2 .

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 a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 16413696.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 119740 + ... + 119876.

Almost surely, 216413696 is an apocalyptic number.

16413696 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 16413696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25706226).

16413696 is an abundant number, since it is smaller than the sum of its proper divisors (34998756).

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

16413696 is a wasteful number, since it uses less digits than its factorization.

16413696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 155 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 16413696 is about 4051.3819864338. The cubic root of 16413696 is about 254.1375244679.

The spelling of 16413696 in words is "sixteen million, four hundred thirteen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 137 144 156 192 208 234 256 274 288 312 384 411 416 468 512 548 576 624 768 822 832 936 1024 1096 1152 1233 1248 1536 1644 1664 1781 1872 2192 2304 2466 2496 3072 3288 3328 3562 3744 4384 4608 4932 4992 5343 6576 6656 7124 7488 8768 9216 9864 9984 10686 13152 13312 14248 14976 16029 17536 19728 19968 21372 26304 28496 29952 32058 35072 39456 39936 42744 52608 56992 59904 64116 70144 78912 85488 105216 113984 119808 128232 140288 157824 170976 210432 227968 256464 315648 341952 420864 455936 512928 631296 683904 911872 1025856 1262592 1367808 1823744 2051712 2735616 4103424 5471232 8206848 16413696