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90206136 = 23341071301
BaseRepresentation
bin1010110000001…
…10111110111000
320021201221120000
411120012332320
5141043044021
612541233000
72143511436
oct530067670
9207657500
1090206136
1146a12229
1226262760
13158c4a17
14bda1d56
157dbcb26
hex5606fb8

90206136 has 80 divisors (see below), whose sum is σ = 255218040. Its totient is φ = 29764800.

The previous prime is 90206119. The next prime is 90206189. The reversal of 90206136 is 63160209.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 68686 + ... + 69986.

Almost surely, 290206136 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 90206136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127609020).

90206136 is an abundant number, since it is smaller than the sum of its proper divisors (165011904).

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

90206136 is a wasteful number, since it uses less digits than its factorization.

90206136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 1413 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 90206136 is about 9497.6910878381. The cubic root of 90206136 is about 448.4823540892.

The spelling of 90206136 in words is "ninety million, two hundred six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 107 108 162 214 216 321 324 428 642 648 856 963 1284 1301 1926 2568 2602 2889 3852 3903 5204 5778 7704 7806 8667 10408 11556 11709 15612 17334 23112 23418 31224 34668 35127 46836 69336 70254 93672 105381 139207 140508 210762 278414 281016 417621 421524 556828 835242 843048 1113656 1252863 1670484 2505726 3340968 3758589 5011452 7517178 10022904 11275767 15034356 22551534 30068712 45103068 90206136