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1139314968 = 23321147127241
BaseRepresentation
bin100001111101000…
…1001000100011000
32221101211012022200
41003322021010120
54313131034333
6305015250200
740143005661
oct10372110430
92841735280
101139314968
11535128220
12279679960
1315206778c
14ab454368
156a04ec13
hex43e89118

1139314968 has 192 divisors, whose sum is σ = 3479224320. Its totient is φ = 333849600.

The previous prime is 1139314961. The next prime is 1139314997. The reversal of 1139314968 is 8694139311.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1139314961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4727328 + ... + 4727568.

It is an arithmetic number, because the mean of its divisors is an integer number (18120960).

Almost surely, 21139314968 is an apocalyptic number.

1139314968 is a gapful number since it is divisible by the number (18) 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 1139314968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1739612160).

1139314968 is an abundant number, since it is smaller than the sum of its proper divisors (2339909352).

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

1139314968 is a wasteful number, since it uses less digits than its factorization.

1139314968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 431 counting only the distinct ones).

The product of its digits is 139968, while the sum is 45.

The square root of 1139314968 is about 33753.7400594364. The cubic root of 1139314968 is about 1044.4346408851.

The spelling of 1139314968 in words is "one billion, one hundred thirty-nine million, three hundred fourteen thousand, nine hundred sixty-eight".