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1072314720 = 25335892789
BaseRepresentation
bin111111111010100…
…011100101100000
32202201202020021000
4333322203211200
54144003032340
6254223232000
735400344661
oct7772434540
92681666230
101072314720
11500325a14
1225b148600
13141209469
14a25b3368
1564217d30
hex3fea3960

1072314720 has 192 divisors, whose sum is σ = 3796632000. Its totient is φ = 282636288.

The previous prime is 1072314703. The next prime is 1072314757. The reversal of 1072314720 is 274132701.

It is a happy number.

It is a super-2 number, since 2×10723147202 = 2299717717457356800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 383086 + ... + 385874.

It is an arithmetic number, because the mean of its divisors is an integer number (19774125).

Almost surely, 21072314720 is an apocalyptic number.

1072314720 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 1072314720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1898316000).

1072314720 is an abundant number, since it is smaller than the sum of its proper divisors (2724317280).

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

1072314720 is a wasteful number, since it uses less digits than its factorization.

1072314720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2902 (or 2888 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 1072314720 is about 32746.2168807330. The cubic root of 1072314720 is about 1023.5461347201.

The spelling of 1072314720 in words is "one billion, seventy-two million, three hundred fourteen thousand, seven hundred twenty".