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1339612920 = 23325172331307
BaseRepresentation
bin100111111011000…
…1101111011111000
310110100201101110100
41033312031323320
510220420103140
6340532315400
745124344012
oct11766157370
93410641410
101339612920
116281a4018
12314772b60
131846c7589
14c9cb31b2
157c917530
hex4fd8def8

1339612920 has 384 divisors, whose sum is σ = 4981616640. Its totient is φ = 310210560.

The previous prime is 1339612919. The next prime is 1339612931. The reversal of 1339612920 is 292169331.

It is a happy number.

1339612920 is a `hidden beast` number, since 1 + 3 + 39 + 612 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4363407 + ... + 4363713.

It is an arithmetic number, because the mean of its divisors is an integer number (12972960).

Almost surely, 21339612920 is an apocalyptic number.

1339612920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1339612920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2490808320).

1339612920 is an abundant number, since it is smaller than the sum of its proper divisors (3642003720).

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

1339612920 is a wasteful number, since it uses less digits than its factorization.

1339612920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 1339612920 is about 36600.7229436797. The cubic root of 1339612920 is about 1102.3676056177.

The spelling of 1339612920 in words is "one billion, three hundred thirty-nine million, six hundred twelve thousand, nine hundred twenty".