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390012429960 = 233251083367861
BaseRepresentation
bin1011010110011101000…
…11010110011010001000
31101021200122012020120100
411223032203112122020
522342221140224320
6455100315525400
740114604646006
oct5531643263210
91337618166510
10390012429960
1114044893818a
1263706459860
132aa163b379a
1414c3b957a76
15a229b93790
hex5ace8d6688

390012429960 has 48 divisors (see below), whose sum is σ = 1267540398540. Its totient is φ = 104003314560.

The previous prime is 390012429889. The next prime is 390012430001. The reversal of 390012429960 is 69924210093.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 364180868676 + 25831561284 = 603474^2 + 160722^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 541683571 + ... + 541684290.

Almost surely, 2390012429960 is an apocalyptic number.

390012429960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

390012429960 is an abundant number, since it is smaller than the sum of its proper divisors (877527968580).

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

390012429960 is a wasteful number, since it uses less digits than its factorization.

390012429960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083367878 (or 1083367871 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 390012429960 in words is "three hundred ninety billion, twelve million, four hundred twenty-nine thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 1083367861 2166735722 3250103583 4333471444 5416839305 6500207166 8666942888 9750310749 10833678610 13000414332 16250517915 19500621498 21667357220 26000828664 32501035830 39001242996 43334714440 48751553745 65002071660 78002485992 97503107490 130004143320 195006214980 390012429960