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90192320 = 265299719
BaseRepresentation
bin1010110000000…
…11100111000000
320021201020121022
411120003213000
5141042123240
612541045012
72143423241
oct530034700
9207636538
1090192320
1146a02909
1226256768
13158bb64a
14bd9acc8
157db89b5
hex56039c0

90192320 has 56 divisors (see below), whose sum is σ = 222199200. Its totient is φ = 34829312.

The previous prime is 90192317. The next prime is 90192329. The reversal of 90192320 is 2329109.

It is a self number, because there is not a number n which added to its sum of digits gives 90192320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90192329) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4421 + ... + 14139.

Almost surely, 290192320 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 90192320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111099600).

90192320 is an abundant number, since it is smaller than the sum of its proper divisors (132006880).

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

90192320 is a wasteful number, since it uses less digits than its factorization.

90192320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9765 (or 9755 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 26.

The square root of 90192320 is about 9496.9637253177. The cubic root of 90192320 is about 448.4594563543.

The spelling of 90192320 in words is "ninety million, one hundred ninety-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 145 160 232 290 320 464 580 928 1160 1856 2320 4640 9280 9719 19438 38876 48595 77752 97190 155504 194380 281851 311008 388760 563702 622016 777520 1127404 1409255 1555040 2254808 2818510 3110080 4509616 5637020 9019232 11274040 18038464 22548080 45096160 90192320