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190097064 = 23332273877
BaseRepresentation
bin10110101010010…
…10011010101000
3111020200221011000
423111022122220
5342131101224
630510235000
74465540563
oct1325123250
9436627130
10190097064
1198339813
12537b5a60
13304ca991
141b3654da
1511a500c9
hexb54a6a8

190097064 has 64 divisors (see below), whose sum is σ = 530510400. Its totient is φ = 63070272.

The previous prime is 190097027. The next prime is 190097081. The reversal of 190097064 is 460790091.

It is a super-2 number, since 2×1900970642 = 72273787482840192, which contains 22 as substring.

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

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 15 ways as a sum of consecutive naturals, for example, 47094 + ... + 50970.

It is an arithmetic number, because the mean of its divisors is an integer number (8289225).

Almost surely, 2190097064 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 190097064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265255200).

190097064 is an abundant number, since it is smaller than the sum of its proper divisors (340413336).

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

190097064 is a wasteful number, since it uses less digits than its factorization.

190097064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4119 (or 4109 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 190097064 is about 13787.5691838699. The cubic root of 190097064 is about 574.9875878858.

The spelling of 190097064 in words is "one hundred ninety million, ninety-seven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 227 454 681 908 1362 1816 2043 2724 3877 4086 5448 6129 7754 8172 11631 12258 15508 16344 23262 24516 31016 34893 46524 49032 69786 93048 104679 139572 209358 279144 418716 837432 880079 1760158 2640237 3520316 5280474 7040632 7920711 10560948 15841422 21121896 23762133 31682844 47524266 63365688 95048532 190097064