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40367080 = 23513149521
BaseRepresentation
bin1001100111111…
…1001111101000
32210221212020001
42121333033220
540313221310
64001112344
71000054165
oct231771750
983855201
1040367080
1120871426
12116286b4
138494960
14550b06c
15382593a
hex267f3e8

40367080 has 64 divisors (see below), whose sum is σ = 98658000. Its totient is φ = 14776320.

The previous prime is 40367071. The next prime is 40367087. The reversal of 40367080 is 8076304.

It can be written as a sum of positive squares in 8 ways, for example, as 1454436 + 38912644 = 1206^2 + 6238^2 .

It is a super-2 number, since 2×403670802 = 3259002295452800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (40367087) 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, 77220 + ... + 77740.

Almost surely, 240367080 is an apocalyptic number.

40367080 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 40367080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49329000).

40367080 is an abundant number, since it is smaller than the sum of its proper divisors (58290920).

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

40367080 is a wasteful number, since it uses less digits than its factorization.

40367080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 690 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 40367080 is about 6353.5092665392. The cubic root of 40367080 is about 343.0381686226.

The spelling of 40367080 in words is "forty million, three hundred sixty-seven thousand, eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 149 260 298 520 521 596 745 1042 1192 1490 1937 2084 2605 2980 3874 4168 5210 5960 6773 7748 9685 10420 13546 15496 19370 20840 27092 33865 38740 54184 67730 77480 77629 135460 155258 270920 310516 388145 621032 776290 1009177 1552580 2018354 3105160 4036708 5045885 8073416 10091770 20183540 40367080