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407032680 = 23353391939
BaseRepresentation
bin11000010000101…
…101001101101000
31001100220101212110
4120100231031220
51313200021210
6104220042320
713041502125
oct3020551550
91040811773
10407032680
1119983974a
12b43933a0
1366434652
143c0b574c
1525b02420
hex1842d368

407032680 has 32 divisors (see below), whose sum is σ = 1221098400. Its totient is φ = 108542016.

The previous prime is 407032669. The next prime is 407032693. The reversal of 407032680 is 86230704.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1695850 + ... + 1696089.

It is an arithmetic number, because the mean of its divisors is an integer number (38159325).

Almost surely, 2407032680 is an apocalyptic number.

407032680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

407032680 is an abundant number, since it is smaller than the sum of its proper divisors (814065720).

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

407032680 is a wasteful number, since it uses less digits than its factorization.

407032680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3391953 (or 3391949 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 407032680 is about 20175.0509293037. The cubic root of 407032680 is about 741.0993399647.

The spelling of 407032680 in words is "four hundred seven million, thirty-two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 3391939 6783878 10175817 13567756 16959695 20351634 27135512 33919390 40703268 50879085 67838780 81406536 101758170 135677560 203516340 407032680