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40138680 = 23352314543
BaseRepresentation
bin1001100100011…
…1011110111000
32210112020220210
42121013132320
540233414210
63552151120
7665113251
oct231073670
983466823
1040138680
112072586a
12115384a0
1384149ca
14548bb28
1537cce20
hex26477b8

40138680 has 64 divisors (see below), whose sum is σ = 125660160. Its totient is φ = 10237568.

The previous prime is 40138661. The next prime is 40138687. The reversal of 40138680 is 8683104.

It is a happy number.

It is a super-2 number, since 2×401386802 = 3222227264284800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40138687) 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, 4512 + ... + 10031.

It is an arithmetic number, because the mean of its divisors is an integer number (1963440).

Almost surely, 240138680 is an apocalyptic number.

40138680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40138680 is an abundant number, since it is smaller than the sum of its proper divisors (85521480).

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

40138680 is a wasteful number, since it uses less digits than its factorization.

40138680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14580 (or 14576 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 40138680 is about 6335.5094507072. The cubic root of 40138680 is about 342.3899658966.

The spelling of 40138680 in words is "forty million, one hundred thirty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 14543 29086 43629 58172 72715 87258 116344 145430 174516 218145 290860 334489 349032 436290 581720 668978 872580 1003467 1337956 1672445 1745160 2006934 2675912 3344890 4013868 5017335 6689780 8027736 10034670 13379560 20069340 40138680