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90245940 = 223510714057
BaseRepresentation
bin1010110000100…
…00101100110100
320021210222011020
411120100230310
5141100332230
612542141140
72144035461
oct530205464
9207728136
1090245940
1146a3a124
12262817b0
1315909b85
14bdb2668
157dc9810
hex5610b34

90245940 has 48 divisors (see below), whose sum is σ = 255068352. Its totient is φ = 23838976.

The previous prime is 90245921. The next prime is 90245957. The reversal of 90245940 is 4954209.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 609 + ... + 13448.

It is an arithmetic number, because the mean of its divisors is an integer number (5313924).

Almost surely, 290245940 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 90245940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127534176).

90245940 is an abundant number, since it is smaller than the sum of its proper divisors (164822412).

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

90245940 is a wasteful number, since it uses less digits than its factorization.

90245940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14176 (or 14174 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 90245940 is about 9499.7863133862. The cubic root of 90245940 is about 448.5483095677.

The spelling of 90245940 in words is "ninety million, two hundred forty-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 321 428 535 642 1070 1284 1605 2140 3210 6420 14057 28114 42171 56228 70285 84342 140570 168684 210855 281140 421710 843420 1504099 3008198 4512297 6016396 7520495 9024594 15040990 18049188 22561485 30081980 45122970 90245940