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146041272 = 23331352009
BaseRepresentation
bin10001011010001…
…10100110111000
3101011210122222000
420231012212320
5244341310042
622254101000
73422221206
oct1055064670
9334718860
10146041272
1175488a73
1240aaa760
1324344070
1415578076
15cc4b74c
hex8b469b8

146041272 has 64 divisors (see below), whose sum is σ = 436884000. Its totient is φ = 44934912.

The previous prime is 146041261. The next prime is 146041297. The reversal of 146041272 is 272140641.

146041272 is digitally balanced in base 3, because in such base 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 (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23197 + ... + 28812.

Almost surely, 2146041272 is an apocalyptic number.

146041272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146041272 is an abundant number, since it is smaller than the sum of its proper divisors (290842728).

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

146041272 is a wasteful number, since it uses less digits than its factorization.

146041272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52037 (or 52027 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 146041272 is about 12084.7537004277. The cubic root of 146041272 is about 526.6133553544.

It can be divided in two parts, 14604 and 1272, that added together give a square (15876 = 1262).

The spelling of 146041272 in words is "one hundred forty-six million, forty-one thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 104 108 117 156 216 234 312 351 468 702 936 1404 2808 52009 104018 156027 208036 312054 416072 468081 624108 676117 936162 1248216 1352234 1404243 1872324 2028351 2704468 2808486 3744648 4056702 5408936 5616972 6085053 8113404 11233944 12170106 16226808 18255159 24340212 36510318 48680424 73020636 146041272