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90073088 = 211761103
BaseRepresentation
bin1010101111001…
…10100000000000
320021111012001022
411113212200000
5141024314323
612534325012
72142415520
oct527464000
9207435038
1090073088
1146931276
12261b9768
13158792b1
14bd69680
157d934c8
hex55e6800

90073088 has 96 divisors (see below), whose sum is σ = 211236480. Its totient is φ = 37601280.

The previous prime is 90073079. The next prime is 90073097. The reversal of 90073088 is 88037009.

It is an interprime number because it is at equal distance from previous prime (90073079) and next prime (90073097).

It is a super-2 number, since 2×900730882 = 16226322363711488, which contains 22 as substring.

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, 874445 + ... + 874547.

It is an arithmetic number, because the mean of its divisors is an integer number (2200380).

Almost surely, 290073088 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 90073088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105618240).

90073088 is an abundant number, since it is smaller than the sum of its proper divisors (121163392).

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

90073088 is a wasteful number, since it uses less digits than its factorization.

90073088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 90073088 is about 9490.6842745926. The cubic root of 90073088 is about 448.2617517991.

The spelling of 90073088 in words is "ninety million, seventy-three thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 61 64 103 112 122 128 206 224 244 256 412 427 448 488 512 721 824 854 896 976 1024 1442 1648 1708 1792 1952 2048 2884 3296 3416 3584 3904 5768 6283 6592 6832 7168 7808 11536 12566 13184 13664 14336 15616 23072 25132 26368 27328 31232 43981 46144 50264 52736 54656 62464 87962 92288 100528 105472 109312 124928 175924 184576 201056 210944 218624 351848 369152 402112 437248 703696 738304 804224 874496 1407392 1476608 1608448 2814784 3216896 5629568 6433792 11259136 12867584 22518272 45036544 90073088