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146505912 = 23372930071
BaseRepresentation
bin10001011101110…
…00000010111000
3101012200021022220
420232320002320
5300001142122
622312044040
73426164640
oct1056700270
9335607286
10146505912
1175776073
1241093620
13244776b7
1415659520
15ccde25c
hex8bb80b8

146505912 has 64 divisors (see below), whose sum is σ = 433036800. Its totient is φ = 40414080.

The previous prime is 146505899. The next prime is 146505913. The reversal of 146505912 is 219505641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146505913) 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, 10164 + ... + 19907.

It is an arithmetic number, because the mean of its divisors is an integer number (6766200).

Almost surely, 2146505912 is an apocalyptic number.

146505912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146505912 is an abundant number, since it is smaller than the sum of its proper divisors (286530888).

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

146505912 is a wasteful number, since it uses less digits than its factorization.

146505912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30116 (or 30112 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 146505912 is about 12103.9626569153. The cubic root of 146505912 is about 527.1712492275.

The spelling of 146505912 in words is "one hundred forty-six million, five hundred five thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 232 348 406 609 696 812 1218 1624 2436 4872 30071 60142 90213 120284 180426 210497 240568 360852 420994 631491 721704 841988 872059 1262982 1683976 1744118 2525964 2616177 3488236 5051928 5232354 6104413 6976472 10464708 12208826 18313239 20929416 24417652 36626478 48835304 73252956 146505912