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40408680 = 23351325903
BaseRepresentation
bin1001101000100…
…1011001101000
32211000222021210
42122021121220
540321034210
64002033120
71000316364
oct232113150
984028253
1040408680
112089a704
12116487a0
1384aa880
14551c2a4
153832e20
hex2689668

40408680 has 64 divisors (see below), whose sum is σ = 130556160. Its totient is φ = 9946368.

The previous prime is 40408637. The next prime is 40408703. The reversal of 40408680 is 8680404.

It is a super-2 number, since 2×404086802 = 3265722838684800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11392 + ... + 14511.

It is an arithmetic number, because the mean of its divisors is an integer number (2039940).

Almost surely, 240408680 is an apocalyptic number.

40408680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40408680 is an abundant number, since it is smaller than the sum of its proper divisors (90147480).

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

40408680 is a wasteful number, since it uses less digits than its factorization.

40408680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25930 (or 25926 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 40408680 is about 6356.7822048581. The cubic root of 40408680 is about 343.1559666612.

It can be divided in two parts, 4040 and 8680, that added together give a triangular number (12720 = T159).

The spelling of 40408680 in words is "forty million, four hundred eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 25903 51806 77709 103612 129515 155418 207224 259030 310836 336739 388545 518060 621672 673478 777090 1010217 1036120 1346956 1554180 1683695 2020434 2693912 3108360 3367390 4040868 5051085 6734780 8081736 10102170 13469560 20204340 40408680