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196465416 = 233779113131
BaseRepresentation
bin10111011010111…
…01001100001000
3111200200110212220
423231131030020
5400243343131
631254534040
74603633320
oct1355351410
9450613786
10196465416
11a0999414
1255967320
133191a534
141c142280
15123abe96
hexbb5d308

196465416 has 128 divisors (see below), whose sum is σ = 577843200. Its totient is φ = 54512640.

The previous prime is 196465403. The next prime is 196465427. The reversal of 196465416 is 614564691.

196465416 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1964654163 (a number of 26 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (42) 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 (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1499671 + ... + 1499801.

It is an arithmetic number, because the mean of its divisors is an integer number (4514400).

Almost surely, 2196465416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196465416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288921600).

196465416 is an abundant number, since it is smaller than the sum of its proper divisors (381377784).

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

196465416 is a wasteful number, since it uses less digits than its factorization.

196465416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 335 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 196465416 is about 14016.6121441666. The cubic root of 196465416 is about 581.3379891308.

The spelling of 196465416 in words is "one hundred ninety-six million, four hundred sixty-five thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 79 84 113 131 158 168 226 237 262 316 339 393 452 474 524 553 632 678 786 791 904 917 948 1048 1106 1356 1572 1582 1659 1834 1896 2212 2373 2712 2751 3144 3164 3318 3668 4424 4746 5502 6328 6636 7336 8927 9492 10349 11004 13272 14803 17854 18984 20698 22008 26781 29606 31047 35708 41396 44409 53562 59212 62094 62489 71416 72443 82792 88818 103621 107124 118424 124188 124978 144886 177636 187467 207242 214248 217329 248376 249956 289772 310863 355272 374934 414484 434658 499912 579544 621726 749868 828968 869316 1169437 1243452 1499736 1738632 2338874 2486904 3508311 4677748 7016622 8186059 9355496 14033244 16372118 24558177 28066488 32744236 49116354 65488472 98232708 196465416