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134860416 = 2733111329
BaseRepresentation
bin10000000100111…
…00111010000000
3100101202121201020
420002130322000
5234011013131
621214305440
73225203025
oct1002347200
9311677636
10134860416
116a141699
12391b8280
1321c2ab82
1413ca754c
15bc8d996
hex809ce80

134860416 has 64 divisors (see below), whose sum is σ = 369811200. Its totient is φ = 43499520.

The previous prime is 134860409. The next prime is 134860417. The reversal of 134860416 is 614068431.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (134860417) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6240 + ... + 17568.

It is an arithmetic number, because the mean of its divisors is an integer number (5778300).

Almost surely, 2134860416 is an apocalyptic number.

134860416 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 134860416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184905600).

134860416 is an abundant number, since it is smaller than the sum of its proper divisors (234950784).

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

134860416 is a wasteful number, since it uses less digits than its factorization.

134860416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11377 (or 11365 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 134860416 is about 11612.9417461727. The cubic root of 134860416 is about 512.8159191192.

The spelling of 134860416 in words is "one hundred thirty-four million, eight hundred sixty thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 992 1488 1984 2976 3968 5952 11329 11904 22658 33987 45316 67974 90632 135948 181264 271896 351199 362528 543792 702398 725056 1053597 1087584 1404796 1450112 2107194 2175168 2809592 4214388 4350336 5619184 8428776 11238368 16857552 22476736 33715104 44953472 67430208 134860416