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88668090 = 23257172487
BaseRepresentation
bin1010100100011…
…11011110111010
320011211210202100
411102033132322
5140144334330
612444244230
72124444360
oct522173672
9204753670
1088668090
1146061715
1225840676
13154a6934
14bac1630
157bb7060
hex548f7ba

88668090 has 144 divisors (see below), whose sum is σ = 280455552. Its totient is φ = 19035648.

The previous prime is 88668089. The next prime is 88668101. The reversal of 88668090 is 9086688.

It is a super-3 number, since 3×886680903 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 181827 + ... + 182313.

It is an arithmetic number, because the mean of its divisors is an integer number (1947608).

Almost surely, 288668090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88668090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140227776).

88668090 is an abundant number, since it is smaller than the sum of its proper divisors (191787462).

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

88668090 is a wasteful number, since it uses less digits than its factorization.

88668090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 521 counting only the distinct ones).

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

The square root of 88668090 is about 9416.3735057611. The cubic root of 88668090 is about 445.9188018710.

The spelling of 88668090 in words is "eighty-eight million, six hundred sixty-eight thousand, ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 17 18 21 30 34 35 42 45 51 63 70 85 90 102 105 119 126 153 170 210 238 255 289 306 315 357 487 510 578 595 630 714 765 867 974 1071 1190 1445 1461 1530 1734 1785 2023 2142 2435 2601 2890 2922 3409 3570 4046 4335 4383 4870 5202 5355 6069 6818 7305 8279 8670 8766 10115 10227 10710 12138 13005 14610 16558 17045 18207 20230 20454 21915 24837 26010 30345 30681 34090 36414 41395 43830 49674 51135 57953 60690 61362 74511 82790 91035 102270 115906 124185 140743 149022 153405 173859 182070 248370 281486 289765 306810 347718 372555 422229 521577 579530 703715 745110 844458 869295 985201 1043154 1266687 1407430 1738590 1970402 2111145 2533374 2607885 2955603 4222290 4926005 5215770 5911206 6333435 8866809 9852010 12666870 14778015 17733618 29556030 44334045 88668090