Search a number
-
+
90860688 = 2432718887
BaseRepresentation
bin1010110101001…
…10110010010000
320022222012102200
411122212302100
5141230020223
613003243200
72152205652
oct532466220
9208865380
1090860688
1147319a86
1226519500
1315a93929
14c0d26d2
157e9ba43
hex56a6c90

90860688 has 60 divisors (see below), whose sum is σ = 257894208. Its totient is φ = 29856960.

The previous prime is 90860687. The next prime is 90860743. The reversal of 90860688 is 88606809.

It is not an unprimeable number, because it can be changed into a prime (90860687) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5781 + ... + 14667.

Almost surely, 290860688 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 90860688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128947104).

90860688 is an abundant number, since it is smaller than the sum of its proper divisors (167033520).

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

90860688 is a wasteful number, since it uses less digits than its factorization.

90860688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8972 (or 8963 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 90860688 is about 9532.0872845353. The cubic root of 90860688 is about 449.5644971818.

The spelling of 90860688 in words is "ninety million, eight hundred sixty thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 284 426 568 639 852 1136 1278 1704 2556 3408 5112 8887 10224 17774 26661 35548 53322 71096 79983 106644 142192 159966 213288 319932 426576 630977 639864 1261954 1279728 1892931 2523908 3785862 5047816 5678793 7571724 10095632 11357586 15143448 22715172 30286896 45430344 90860688