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146630112 = 2533741281
BaseRepresentation
bin10001011110101…
…10010111100000
3101012220120200220
420233112113200
5300014130422
622314443040
73430223016
oct1057262740
9335816626
10146630112
1175850412
1241133480
13244bc0a5
141568c8b6
15cd15e5c
hex8bd65e0

146630112 has 48 divisors (see below), whose sum is σ = 395316432. Its totient is φ = 47554560.

The previous prime is 146630111. The next prime is 146630131. The reversal of 146630112 is 211036641.

146630112 is digitally balanced in base 2, 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 (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146630111) 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, 17089 + ... + 24192.

It is an arithmetic number, because the mean of its divisors is an integer number (8235759).

Almost surely, 2146630112 is an apocalyptic number.

146630112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146630112 is an abundant number, since it is smaller than the sum of its proper divisors (248686320).

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

146630112 is a wasteful number, since it uses less digits than its factorization.

146630112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41331 (or 41323 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 146630112 is about 12109.0921212121. The cubic root of 146630112 is about 527.3201764960.

Adding to 146630112 its reverse (211036641), we get a palindrome (357666753).

The spelling of 146630112 in words is "one hundred forty-six million, six hundred thirty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 41281 82562 123843 165124 247686 330248 495372 660496 990744 1320992 1527397 1981488 3054794 3962976 4582191 6109588 9164382 12219176 18328764 24438352 36657528 48876704 73315056 146630112