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1312038720 = 263251034423
BaseRepresentation
bin100111000110100…
…0001111101000000
310101102211110202200
41032031001331000
510141340214340
6334105313200
744341100526
oct11615017500
93342743680
101312038720
11613680123
12307495800
1317ba91795
14c6376316
157a2bc330
hex4e341f40

1312038720 has 168 divisors, whose sum is σ = 4557710976. Its totient is φ = 346401792.

The previous prime is 1312038701. The next prime is 1312038727. The reversal of 1312038720 is 278302131.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312038727) 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 23 ways as a sum of consecutive naturals, for example, 294429 + ... + 298851.

It is an arithmetic number, because the mean of its divisors is an integer number (27129232).

Almost surely, 21312038720 is an apocalyptic number.

1312038720 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 1312038720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2278855488).

1312038720 is an abundant number, since it is smaller than the sum of its proper divisors (3245672256).

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

1312038720 is a wasteful number, since it uses less digits than its factorization.

1312038720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4549 (or 4536 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1312038720 is about 36222.0750371924. The cubic root of 1312038720 is about 1094.7515042545.

The spelling of 1312038720 in words is "one billion, three hundred twelve million, thirty-eight thousand, seven hundred twenty".