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40180668 = 223111937433
BaseRepresentation
bin1001100101000…
…1101110111100
32210121101111220
42121101232330
540241240133
63553113340
7665346543
oct231215674
983541456
1040180668
1120754370
1211558850
13842ab58
14549d15a
1537da5b3
hex2651bbc

40180668 has 96 divisors (see below), whose sum is σ = 110826240. Its totient is φ = 11197440.

The previous prime is 40180663. The next prime is 40180669. The reversal of 40180668 is 86608104.

It is a super-2 number, since 2×401806682 = 3228972161852448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40180663) 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, 92580 + ... + 93012.

It is an arithmetic number, because the mean of its divisors is an integer number (1154440).

Almost surely, 240180668 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 40180668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55413120).

40180668 is an abundant number, since it is smaller than the sum of its proper divisors (70645572).

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

40180668 is a wasteful number, since it uses less digits than its factorization.

40180668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 505 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 40180668 is about 6338.8222880911. The cubic root of 40180668 is about 342.5093126209.

The spelling of 40180668 in words is "forty million, one hundred eighty thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 19 22 33 37 38 44 57 66 74 76 111 114 132 148 209 222 228 407 418 433 444 627 703 814 836 866 1221 1254 1299 1406 1628 1732 2109 2442 2508 2598 2812 4218 4763 4884 5196 7733 8227 8436 9526 14289 15466 16021 16454 19052 23199 24681 28578 30932 32042 32908 46398 48063 49362 57156 64084 90497 92796 96126 98724 176231 180994 192252 271491 304399 352462 361988 528693 542982 608798 704924 913197 1057386 1085964 1217596 1826394 2114772 3348389 3652788 6696778 10045167 13393556 20090334 40180668