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146413630 = 25112235261
BaseRepresentation
bin10001011101000…
…01100000111110
3101012111120202001
420232201200332
5244440214010
622310052514
73425331616
oct1056414076
9335446661
10146413630
1175712800
124104a13a
13244446ac
1415633a46
15ccc1c3a
hex8ba183e

146413630 has 48 divisors (see below), whose sum is σ = 302333472. Its totient is φ = 50916800.

The previous prime is 146413627. The next prime is 146413637. The reversal of 146413630 is 36314641.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146413637) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 25200 + ... + 30460.

It is an arithmetic number, because the mean of its divisors is an integer number (6298614).

Almost surely, 2146413630 is an apocalyptic number.

146413630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

146413630 is an abundant number, since it is smaller than the sum of its proper divisors (155919842).

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

146413630 is a wasteful number, since it uses less digits than its factorization.

146413630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5313 (or 5302 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 146413630 is about 12100.1499990703. The cubic root of 146413630 is about 527.0605400771.

The spelling of 146413630 in words is "one hundred forty-six million, four hundred thirteen thousand, six hundred thirty".

Divisors: 1 2 5 10 11 22 23 46 55 110 115 121 230 242 253 506 605 1210 1265 2530 2783 5261 5566 10522 13915 26305 27830 52610 57871 115742 121003 242006 289355 578710 605015 636581 1210030 1273162 1331033 2662066 3182905 6365810 6655165 13310330 14641363 29282726 73206815 146413630