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90372114 = 23272393001
BaseRepresentation
bin1010110001011…
…11100000010010
320022001101020100
411120233200102
5141113401424
612544553230
72145102360
oct530574022
9208041210
1090372114
11470159a8
1226322816
1315952431
14c006630
157e01dc9
hex562f812

90372114 has 48 divisors (see below), whose sum is σ = 224789760. Its totient is φ = 25704000.

The previous prime is 90372109. The next prime is 90372127. The reversal of 90372114 is 41127309.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28614 + ... + 31614.

It is an arithmetic number, because the mean of its divisors is an integer number (4683120).

Almost surely, 290372114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90372114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112394880).

90372114 is an abundant number, since it is smaller than the sum of its proper divisors (134417646).

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

90372114 is a wasteful number, since it uses less digits than its factorization.

90372114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3255 (or 3252 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 90372114 is about 9506.4248800482. The cubic root of 90372114 is about 448.7572525939.

The spelling of 90372114 in words is "ninety million, three hundred seventy-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 239 478 717 1434 1673 2151 3001 3346 4302 5019 6002 9003 10038 15057 18006 21007 27009 30114 42014 54018 63021 126042 189063 378126 717239 1434478 2151717 4303434 5020673 6455151 10041346 12910302 15062019 30124038 45186057 90372114