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125664420 = 22357242743
BaseRepresentation
bin1110111110101…
…11110010100100
322202110102011210
413133113302210
5224132230140
620245231420
73054062400
oct737276244
9282412153
10125664420
1164a305a2
1236102570
132005b25b
1412992100
15b073d80
hex77d7ca4

125664420 has 72 divisors (see below), whose sum is σ = 409316544. Its totient is φ = 28722624.

The previous prime is 125664419. The next prime is 125664443. The reversal of 125664420 is 24466521.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18432 + ... + 24311.

It is an arithmetic number, because the mean of its divisors is an integer number (5684952).

Almost surely, 2125664420 is an apocalyptic number.

125664420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125664420 is an abundant number, since it is smaller than the sum of its proper divisors (283652124).

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

125664420 is a wasteful number, since it uses less digits than its factorization.

125664420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42769 (or 42760 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 125664420 is about 11210.0142729615. The cubic root of 125664420 is about 500.8843283380.

125664420 divided by its sum of digits (30) gives a palindrome (4188814).

The spelling of 125664420 in words is "one hundred twenty-five million, six hundred sixty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 735 980 1470 2940 42743 85486 128229 170972 213715 256458 299201 427430 512916 598402 641145 854860 897603 1196804 1282290 1496005 1795206 2094407 2564580 2992010 3590412 4188814 4488015 5984020 6283221 8377628 8976030 10472035 12566442 17952060 20944070 25132884 31416105 41888140 62832210 125664420