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146651136 = 211323869
BaseRepresentation
bin10001011110110…
…11100000000000
3101012221122112120
420233123200000
5300020314021
622315124240
73430341222
oct1057334000
9335848476
10146651136
1175865195
1241143680
13244c8828
1415696412
15cd1c2c6
hex8bdb800

146651136 has 48 divisors (see below), whose sum is σ = 390990600. Its totient is φ = 48881664.

The previous prime is 146651093. The next prime is 146651143. The reversal of 146651136 is 631156641.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 146651097 and 146651106.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 5791 + ... + 18078.

Almost surely, 2146651136 is an apocalyptic number.

146651136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

146651136 is an abundant number, since it is smaller than the sum of its proper divisors (244339464).

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

146651136 is an equidigital number, since it uses as much as digits as its factorization.

146651136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23894 (or 23874 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 146651136 is about 12109.9601981179. The cubic root of 146651136 is about 527.3453778897.

The spelling of 146651136 in words is "one hundred forty-six million, six hundred fifty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 6144 23869 47738 71607 95476 143214 190952 286428 381904 572856 763808 1145712 1527616 2291424 3055232 4582848 6110464 9165696 12220928 18331392 24441856 36662784 48883712 73325568 146651136