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16164096 = 283131619
BaseRepresentation
bin111101101010…
…010100000000
31010102012222020
4331222110000
513114222341
61334241440
7254251434
oct75522400
933365866
1016164096
119140363
1254b6280
13346c470
14220a9c4
151644566
hexf6a500

16164096 has 72 divisors (see below), whose sum is σ = 46357920. Its totient is φ = 4970496.

The previous prime is 16164067. The next prime is 16164103. The reversal of 16164096 is 69046161.

It is a super-2 number, since 2×161640962 = 522555998994432, which contains 22 as substring.

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, 9175 + ... + 10793.

It is an arithmetic number, because the mean of its divisors is an integer number (643860).

Almost surely, 216164096 is an apocalyptic number.

16164096 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 16164096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23178960).

16164096 is an abundant number, since it is smaller than the sum of its proper divisors (30193824).

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

16164096 is a wasteful number, since it uses less digits than its factorization.

16164096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1651 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 16164096 is about 4020.4596752113. The cubic root of 16164096 is about 252.8427316538.

The spelling of 16164096 in words is "sixteen million, one hundred sixty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 768 832 1248 1619 1664 2496 3238 3328 4857 4992 6476 9714 9984 12952 19428 21047 25904 38856 42094 51808 63141 77712 84188 103616 126282 155424 168376 207232 252564 310848 336752 414464 505128 621696 673504 1010256 1243392 1347008 2020512 2694016 4041024 5388032 8082048 16164096