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89770668 = 223131931977
BaseRepresentation
bin1010101100111…
…00101010101100
320020220211012120
411112130222230
5140440130133
612524032540
72140016031
oct526345254
9206824176
1089770668
1146745039
1226092750
13157a1750
14bccb388
157d33ab3
hex559caac

89770668 has 96 divisors (see below), whose sum is σ = 245360640. Its totient is φ = 25297920.

The previous prime is 89770663. The next prime is 89770739. The reversal of 89770668 is 86607798.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 89770668.

It is not an unprimeable number, because it can be changed into a prime (89770663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91396 + ... + 92372.

It is an arithmetic number, because the mean of its divisors is an integer number (2555840).

Almost surely, 289770668 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 89770668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122680320).

89770668 is an abundant number, since it is smaller than the sum of its proper divisors (155589972).

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

89770668 is a wasteful number, since it uses less digits than its factorization.

89770668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1045 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The square root of 89770668 is about 9474.7384132756. The cubic root of 89770668 is about 447.7595103291.

The spelling of 89770668 in words is "eighty-nine million, seven hundred seventy thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 12 13 19 26 31 38 39 52 57 62 76 78 93 114 124 156 186 228 247 372 403 494 589 741 806 977 988 1178 1209 1482 1612 1767 1954 2356 2418 2931 2964 3534 3908 4836 5862 7068 7657 11724 12701 15314 18563 22971 25402 30287 30628 37126 38103 45942 50804 55689 60574 74252 76206 90861 91884 111378 121148 152412 181722 222756 241319 363444 393731 482638 575453 723957 787462 965276 1150906 1181193 1447914 1574924 1726359 2301812 2362386 2895828 3452718 4724772 6905436 7480889 14961778 22442667 29923556 44885334 89770668