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138464424 = 2333791577
BaseRepresentation
bin10000100000011…
…00110010101000
3100122112201111000
420100030302220
5240421330144
621423435000
73300633240
oct1020146250
9318481430
10138464424
117118340a
123a455a60
13228c0417
1414564b20
15c251769
hex840cca8

138464424 has 64 divisors (see below), whose sum is σ = 439574400. Its totient is φ = 39560832.

The previous prime is 138464387. The next prime is 138464453. The reversal of 138464424 is 424464831.

138464424 is a `hidden beast` number, since 1 + 3 + 8 + 4 + 644 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44277 + ... + 47300.

It is an arithmetic number, because the mean of its divisors is an integer number (6868350).

Almost surely, 2138464424 is an apocalyptic number.

138464424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

138464424 is an abundant number, since it is smaller than the sum of its proper divisors (301109976).

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

138464424 is a wasteful number, since it uses less digits than its factorization.

138464424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91599 (or 91589 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The square root of 138464424 is about 11767.0907194599. The cubic root of 138464424 is about 517.3439815329.

The spelling of 138464424 in words is "one hundred thirty-eight million, four hundred sixty-four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 91577 183154 274731 366308 549462 641039 732616 824193 1098924 1282078 1648386 1923117 2197848 2472579 2564156 3296772 3846234 4945158 5128312 5769351 6593544 7692468 9890316 11538702 15384936 17308053 19780632 23077404 34616106 46154808 69232212 138464424