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190371264 = 2631019817
BaseRepresentation
bin10110101100011…
…01010111000000
3111021012212021120
423112031113000
5342213340024
630520152240
74501062156
oct1326152700
9437185246
10190371264
1198506826
1253908680
1330595725
141b3d73d6
1511aa6479
hexb58d5c0

190371264 has 56 divisors (see below), whose sum is σ = 508729488. Its totient is φ = 62822400.

The previous prime is 190371239. The next prime is 190371281. The reversal of 190371264 is 462173091.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 14484 + ... + 24300.

Almost surely, 2190371264 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 190371264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254364744).

190371264 is an abundant number, since it is smaller than the sum of its proper divisors (318358224).

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

190371264 is a wasteful number, since it uses less digits than its factorization.

190371264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9933 (or 9923 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 190371264 is about 13797.5093404571. The cubic root of 190371264 is about 575.2639131293.

It can be divided in two parts, 19037 and 1264, that added together give a triangular number (20301 = T201).

The spelling of 190371264 in words is "one hundred ninety million, three hundred seventy-one thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 192 202 303 404 606 808 1212 1616 2424 3232 4848 6464 9696 9817 19392 19634 29451 39268 58902 78536 117804 157072 235608 314144 471216 628288 942432 991517 1884864 1983034 2974551 3966068 5949102 7932136 11898204 15864272 23796408 31728544 47592816 63457088 95185632 190371264