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146531112 = 2337133397
BaseRepresentation
bin10001011101111…
…10001100101000
3101012201112220020
420232332030220
5300002443422
622312400440
73426331260
oct1056761450
9335645806
10146531112
1175792aa2
12410a6120
1324486000
14156647a0
15cce695c
hex8bbe328

146531112 has 128 divisors (see below), whose sum is σ = 454675200. Its totient is φ = 38548224.

The previous prime is 146531111. The next prime is 146531117. The reversal of 146531112 is 211135641.

It is a happy number.

146531112 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 Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146531111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 368898 + ... + 369294.

It is an arithmetic number, because the mean of its divisors is an integer number (3552150).

Almost surely, 2146531112 is an apocalyptic number.

146531112 is a gapful number since it is divisible by the number (12) 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 146531112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227337600).

146531112 is an abundant number, since it is smaller than the sum of its proper divisors (308144088).

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

146531112 is a wasteful number, since it uses less digits than its factorization.

146531112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 422 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

The square root of 146531112 is about 12105.0035935558. The cubic root of 146531112 is about 527.2014731588.

Adding to 146531112 its reverse (211135641), we get a palindrome (357666753).

The spelling of 146531112 in words is "one hundred forty-six million, five hundred thirty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 169 182 273 312 338 364 397 507 546 676 728 794 1014 1092 1183 1191 1352 1588 2028 2184 2197 2366 2382 2779 3176 3549 4056 4394 4732 4764 5161 5558 6591 7098 8337 8788 9464 9528 10322 11116 13182 14196 15379 15483 16674 17576 20644 22232 26364 28392 30758 30966 33348 36127 41288 46137 52728 61516 61932 66696 67093 72254 92274 108381 123032 123864 134186 144508 184548 201279 216762 268372 289016 369096 402558 433524 469651 536744 805116 867048 872209 939302 1408953 1610232 1744418 1878604 2616627 2817906 3488836 3757208 5233254 5635812 6105463 6977672 10466508 11271624 12210926 18316389 20933016 24421852 36632778 48843704 73265556 146531112