Search a number
-
+
16269696 = 273229487
BaseRepresentation
bin111110000100…
…000110000000
31010121120211100
4332010012000
513131112241
61340414400
7255201342
oct76040600
933546740
1016269696
119202733
125547400
1334a8551
142237292
1516659b6
hexf84180

16269696 has 96 divisors (see below), whose sum is σ = 48531600. Its totient is φ = 5225472.

The previous prime is 16269689. The next prime is 16269703. The reversal of 16269696 is 69696261.

It is an interprime number because it is at equal distance from previous prime (16269689) and next prime (16269703).

It is a tau number, because it is divible by the number of its divisors (96).

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

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, 33165 + ... + 33651.

Almost surely, 216269696 is an apocalyptic number.

16269696 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 16269696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24265800).

16269696 is an abundant number, since it is smaller than the sum of its proper divisors (32261904).

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

16269696 is a wasteful number, since it uses less digits than its factorization.

16269696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 521 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 16269696 is about 4033.5711224670. The cubic root of 16269696 is about 253.3921439332.

The spelling of 16269696 in words is "sixteen million, two hundred sixty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 128 144 174 192 232 261 288 348 384 464 487 522 576 696 928 974 1044 1152 1392 1461 1856 1948 2088 2784 2922 3712 3896 4176 4383 5568 5844 7792 8352 8766 11136 11688 14123 15584 16704 17532 23376 28246 31168 33408 35064 42369 46752 56492 62336 70128 84738 93504 112984 127107 140256 169476 187008 225968 254214 280512 338952 451936 508428 561024 677904 903872 1016856 1355808 1807744 2033712 2711616 4067424 5423232 8134848 16269696