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407940080 = 2455099251
BaseRepresentation
bin11000010100001…
…010101111110000
31001102121111120212
4120110022233300
51313413040310
6104251323252
713052301452
oct3024125760
91042544525
10407940080
1119a2a9469
12b4750528
1366691682
143c2702d2
1525c31205
hex1850abf0

407940080 has 20 divisors (see below), whose sum is σ = 948460872. Its totient is φ = 163176000.

The previous prime is 407940023. The next prime is 407940083. The reversal of 407940080 is 80049704.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407940083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2549546 + ... + 2549705.

Almost surely, 2407940080 is an apocalyptic number.

407940080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

407940080 is an abundant number, since it is smaller than the sum of its proper divisors (540520792).

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

407940080 is a wasteful number, since it uses less digits than its factorization.

407940080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5099264 (or 5099258 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The square root of 407940080 is about 20197.5265812426. The cubic root of 407940080 is about 741.6496433972.

Adding to 407940080 its reverse (80049704), we get a palindrome (487989784).

The spelling of 407940080 in words is "four hundred seven million, nine hundred forty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 5099251 10198502 20397004 25496255 40794008 50992510 81588016 101985020 203970040 407940080