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40368680 = 23511233989
BaseRepresentation
bin1001100111111…
…1101000101000
32210221221102022
42121333220220
540313244210
64001124012
71000061642
oct231775050
983857368
1040368680
1120872650
1211629608
1384955c1
14550b892
153826155
hex267fa28

40368680 has 64 divisors (see below), whose sum is σ = 103420800. Its totient is φ = 14037760.

The previous prime is 40368677. The next prime is 40368689. The reversal of 40368680 is 8686304.

It is a self number, because there is not a number n which added to its sum of digits gives 40368680.

It is not an unprimeable number, because it can be changed into a prime (40368689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8126 + ... + 12114.

It is an arithmetic number, because the mean of its divisors is an integer number (1615950).

Almost surely, 240368680 is an apocalyptic number.

40368680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40368680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51710400).

40368680 is an abundant number, since it is smaller than the sum of its proper divisors (63052120).

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

40368680 is a wasteful number, since it uses less digits than its factorization.

40368680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4034 (or 4030 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 40368680 is about 6353.6351799580. The cubic root of 40368680 is about 343.0427008125.

The spelling of 40368680 in words is "forty million, three hundred sixty-eight thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 920 1012 1265 2024 2530 3989 5060 7978 10120 15956 19945 31912 39890 43879 79780 87758 91747 159560 175516 183494 219395 351032 366988 438790 458735 733976 877580 917470 1009217 1755160 1834940 2018434 3669880 4036868 5046085 8073736 10092170 20184340 40368680