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90035136 = 2632672333
BaseRepresentation
bin1010101110111…
…01001111000000
320021102020222200
411113131033000
5141022111021
612533433200
72142200052
oct527351700
9207366880
1090035136
1146905804
122619b800
1315864c39
14bd598d2
157d87126
hex55dd3c0

90035136 has 84 divisors (see below), whose sum is σ = 262033512. Its totient is φ = 29551104.

The previous prime is 90035117. The next prime is 90035149. The reversal of 90035136 is 63153009.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37426 + ... + 39758.

Almost surely, 290035136 is an apocalyptic number.

90035136 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90035136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131016756).

90035136 is an abundant number, since it is smaller than the sum of its proper divisors (171998376).

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

90035136 is a wasteful number, since it uses less digits than its factorization.

90035136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2418 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 90035136 is about 9488.6846295996. The cubic root of 90035136 is about 448.1987850820.

The spelling of 90035136 in words is "ninety million, thirty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 67 72 96 134 144 192 201 268 288 402 536 576 603 804 1072 1206 1608 2144 2333 2412 3216 4288 4666 4824 6432 6999 9332 9648 12864 13998 18664 19296 20997 27996 37328 38592 41994 55992 74656 83988 111984 149312 156311 167976 223968 312622 335952 447936 468933 625244 671904 937866 1250488 1343808 1406799 1875732 2500976 2813598 3751464 5001952 5627196 7502928 10003904 11254392 15005856 22508784 30011712 45017568 90035136