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146680644 = 223116171801
BaseRepresentation
bin10001011111000…
…10101101000100
3101020000011000110
420233202231010
5300022240034
622315513020
73430523235
oct1057425504
9336004013
10146680644
1175885380
1241158770
13245090a6
14156a308c
15cd25de9
hex8be2b44

146680644 has 48 divisors (see below), whose sum is σ = 374181696. Its totient is φ = 44352000.

The previous prime is 146680613. The next prime is 146680649. The reversal of 146680644 is 446086641.

It is a super-3 number, since 3×1466806443 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (146680649) 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 15 ways as a sum of consecutive naturals, for example, 80544 + ... + 82344.

It is an arithmetic number, because the mean of its divisors is an integer number (7795452).

Almost surely, 2146680644 is an apocalyptic number.

It is an amenable number.

146680644 is an abundant number, since it is smaller than the sum of its proper divisors (227501052).

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

146680644 is a wasteful number, since it uses less digits than its factorization.

146680644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2436 (or 2434 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 146680644 is about 12111.1784727994. The cubic root of 146680644 is about 527.3807449617.

The spelling of 146680644 in words is "one hundred forty-six million, six hundred eighty thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 617 1234 1801 1851 2468 3602 3702 5403 6787 7204 7404 10806 13574 19811 20361 21612 27148 39622 40722 59433 79244 81444 118866 237732 1111217 2222434 3333651 4444868 6667302 12223387 13334604 24446774 36670161 48893548 73340322 146680644