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190163904 = 26372172941
BaseRepresentation
bin10110101010110…
…10101111000000
3111020211022211120
423111122233000
5342140221104
630511512240
74466236500
oct1325325700
9436738746
10190163904
1198384a57
1253828680
1330522228
141b381a00
1511a64cd9
hexb55abc0

190163904 has 336 divisors, whose sum is σ = 656722080. Its totient is φ = 48168960.

The previous prime is 190163899. The next prime is 190163917. The reversal of 190163904 is 409361091.

190163904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4638124 + ... + 4638164.

It is an arithmetic number, because the mean of its divisors is an integer number (1954530).

Almost surely, 2190163904 is an apocalyptic number.

190163904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 190163904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328361040).

190163904 is an abundant number, since it is smaller than the sum of its proper divisors (466558176).

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

190163904 is a wasteful number, since it uses less digits than its factorization.

190163904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 190163904 is about 13789.9928933992. The cubic root of 190163904 is about 575.0549704220.

The spelling of 190163904 in words is "one hundred ninety million, one hundred sixty-three thousand, nine hundred four".