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190910464 = 212127367
BaseRepresentation
bin10110110000100…
…01000000000000
3111022020020220221
423120101000000
5342333113324
630535512424
74505466163
oct1330210000
9438206827
10190910464
1198844948
1253b28714
1330723c94
141b4d7ada
1511b610e4
hexb611000

190910464 has 52 divisors (see below), whose sum is σ = 385828864. Its totient is φ = 94445568.

The previous prime is 190910443. The next prime is 190910471. The reversal of 190910464 is 464019091.

It is a super-3 number, since 3×1909104643 (a number of 26 digits) contains 333 as substring.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 520009 + ... + 520375.

Almost surely, 2190910464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190910464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192914432).

190910464 is an abundant number, since it is smaller than the sum of its proper divisors (194918400).

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

190910464 is an equidigital number, since it uses as much as digits as its factorization.

190910464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 190910464 is about 13817.0352825778. The cubic root of 190910464 is about 575.8065193785.

The spelling of 190910464 in words is "one hundred ninety million, nine hundred ten thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 127 128 254 256 367 508 512 734 1016 1024 1468 2032 2048 2936 4064 4096 5872 8128 11744 16256 23488 32512 46609 46976 65024 93218 93952 130048 186436 187904 260096 372872 375808 520192 745744 751616 1491488 1503232 2982976 5965952 11931904 23863808 47727616 95455232 190910464