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146917056 = 26311135351
BaseRepresentation
bin10001100000111…
…00011011000000
3101020110011022110
420300130123000
5300102321211
622324535320
73432526416
oct1060343300
9336404273
10146917056
1175a26a60
1241251540
132458c890
14157252b6
15cd70ea6
hex8c1c6c0

146917056 has 112 divisors (see below), whose sum is σ = 456761088. Its totient is φ = 41088000.

The previous prime is 146917051. The next prime is 146917079. The reversal of 146917056 is 650719641.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (146917051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24781 + ... + 30131.

It is an arithmetic number, because the mean of its divisors is an integer number (4078224).

Almost surely, 2146917056 is an apocalyptic number.

146917056 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 146917056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228380544).

146917056 is an abundant number, since it is smaller than the sum of its proper divisors (309844032).

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

146917056 is a wasteful number, since it uses less digits than its factorization.

146917056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5390 (or 5380 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 146917056 is about 12120.9346174295. The cubic root of 146917056 is about 527.6639275491.

The spelling of 146917056 in words is "one hundred forty-six million, nine hundred seventeen thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 132 143 156 176 192 208 264 286 312 352 416 429 528 572 624 704 832 858 1056 1144 1248 1716 2112 2288 2496 3432 4576 5351 6864 9152 10702 13728 16053 21404 27456 32106 42808 58861 64212 69563 85616 117722 128424 139126 171232 176583 208689 235444 256848 278252 342464 353166 417378 470888 513696 556504 706332 765193 834756 941776 1027392 1113008 1412664 1530386 1669512 1883552 2226016 2295579 2825328 3060772 3339024 3767104 4452032 4591158 5650656 6121544 6678048 9182316 11301312 12243088 13356096 18364632 24486176 36729264 48972352 73458528 146917056