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146020992 = 2731329251
BaseRepresentation
bin10001011010000…
…01101010000000
3101011202122010220
420231001222000
5244340132432
622253423040
73422105115
oct1055015200
9334678126
10146020992
1175474807
1240a9aa80
1324337a70
141557090c
15cc4572c
hex8b41a80

146020992 has 64 divisors (see below), whose sum is σ = 417718560. Its totient is φ = 44928000.

The previous prime is 146020961. The next prime is 146020999. The reversal of 146020992 is 299020641.

146020992 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (146020999) 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, 9634 + ... + 19617.

Almost surely, 2146020992 is an apocalyptic number.

146020992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146020992 is an abundant number, since it is smaller than the sum of its proper divisors (271697568).

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

146020992 is a wasteful number, since it uses less digits than its factorization.

146020992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29281 (or 29269 counting only the distinct ones).

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

The square root of 146020992 is about 12083.9145975135. The cubic root of 146020992 is about 526.5889781970.

The spelling of 146020992 in words is "one hundred forty-six million, twenty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 29251 58502 87753 117004 175506 234008 351012 380263 468016 702024 760526 936032 1140789 1404048 1521052 1872064 2281578 2808096 3042104 3744128 4563156 5616192 6084208 9126312 11232384 12168416 18252624 24336832 36505248 48673664 73010496 146020992