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146960016 = 2437262483
BaseRepresentation
bin10001100001001…
…10111010010000
3101020112100020120
420300212322100
5300110210031
622325510240
73433065600
oct1060467220
9336470216
10146960016
1175a56265
1241272380
13245a62b8
1415736c00
15cd7da96
hex8c26e90

146960016 has 60 divisors (see below), whose sum is σ = 441636912. Its totient is φ = 41987904.

The previous prime is 146959999. The next prime is 146960029. The reversal of 146960016 is 610069641.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28890 + ... + 33593.

Almost surely, 2146960016 is an apocalyptic number.

146960016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

146960016 is an abundant number, since it is smaller than the sum of its proper divisors (294676896).

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

146960016 is a wasteful number, since it uses less digits than its factorization.

146960016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62508 (or 62495 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 146960016 is about 12122.7066284720. The cubic root of 146960016 is about 527.7153539204.

The spelling of 146960016 in words is "one hundred forty-six million, nine hundred sixty thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 62483 124966 187449 249932 374898 437381 499864 749796 874762 999728 1312143 1499592 1749524 2624286 2999184 3061667 3499048 5248572 6123334 6998096 9185001 10497144 12246668 18370002 20994288 24493336 36740004 48986672 73480008 146960016