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90200736 = 2533104399
BaseRepresentation
bin1010110000001…
…01101010100000
320021201200011000
411120011222200
5141042410421
612541152000
72143456623
oct530055240
9207650130
1090200736
1146a0916a
122625b600
13158c2422
14bd9ddba
157dbb226
hex5605aa0

90200736 has 48 divisors (see below), whose sum is σ = 263088000. Its totient is φ = 30066624.

The previous prime is 90200729. The next prime is 90200741. The reversal of 90200736 is 63700209.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51336 + ... + 53063.

It is an arithmetic number, because the mean of its divisors is an integer number (5481000).

Almost surely, 290200736 is an apocalyptic number.

90200736 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

90200736 is an abundant number, since it is smaller than the sum of its proper divisors (172887264).

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

90200736 is a wasteful number, since it uses less digits than its factorization.

90200736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104418 (or 104404 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 90200736 is about 9497.4068039650. The cubic root of 90200736 is about 448.4734047607.

The spelling of 90200736 in words is "ninety million, two hundred thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 104399 208798 313197 417596 626394 835192 939591 1252788 1670384 1879182 2505576 2818773 3340768 3758364 5011152 5637546 7516728 10022304 11275092 15033456 22550184 30066912 45100368 90200736