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1390123136 = 2747269859
BaseRepresentation
bin101001011011011…
…1001100010000000
310120212202120110002
41102312321202000
510321332420021
6345535055132
746306565063
oct12266714200
93525676402
101390123136
116537630a6
123296714a8
13192000c8c
14d28a08da
158209350b
hex52db9880

1390123136 has 64 divisors (see below), whose sum is σ = 2842128000. Its totient is φ = 676955136.

The previous prime is 1390123127. The next prime is 1390123139. The reversal of 1390123136 is 6313210931.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 1390123099 and 1390123108.

It is not an unprimeable number, because it can be changed into a prime (1390123139) 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 7 ways as a sum of consecutive naturals, for example, 1617875 + ... + 1618733.

It is an arithmetic number, because the mean of its divisors is an integer number (44408250).

Almost surely, 21390123136 is an apocalyptic number.

1390123136 is a gapful number since it is divisible by the number (16) 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 1390123136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1421064000).

1390123136 is an abundant number, since it is smaller than the sum of its proper divisors (1452004864).

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

1390123136 is an equidigital number, since it uses as much as digits as its factorization.

1390123136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 29.

The square root of 1390123136 is about 37284.3551104213. The cubic root of 1390123136 is about 1116.0519838925.

The spelling of 1390123136 in words is "one billion, three hundred ninety million, one hundred twenty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 269 376 538 752 859 1076 1504 1718 2152 3008 3436 4304 6016 6872 8608 12643 13744 17216 25286 27488 34432 40373 50572 54976 80746 101144 109952 161492 202288 231071 322984 404576 462142 645968 809152 924284 1291936 1618304 1848568 2583872 3697136 5167744 7394272 10860337 14788544 21720674 29577088 43441348 86882696 173765392 347530784 695061568 1390123136