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1396819008 = 2632131710973
BaseRepresentation
bin101001101000001…
…1100010001000000
310121100100202110100
41103100130101000
510330041202013
6350334402400
746420523424
oct12320342100
93540322410
101396819008
11657516882
1232b960400
13193506930
14d3724b84
1582967473
hex5341c440

1396819008 has 168 divisors, whose sum is σ = 4565754648. Its totient is φ = 404471808.

The previous prime is 1396818971. The next prime is 1396819019. The reversal of 1396819008 is 8009186931.

It can be written as a sum of positive squares in 4 ways, for example, as 189117504 + 1207701504 = 13752^2 + 34752^2 .

It is a super-2 number, since 2×13968190082 = 3902206682220208128, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 121810 + ... + 132782.

It is an arithmetic number, because the mean of its divisors is an integer number (27177111).

Almost surely, 21396819008 is an apocalyptic number.

1396819008 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 1396819008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2282877324).

1396819008 is an abundant number, since it is smaller than the sum of its proper divisors (3168935640).

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

1396819008 is a wasteful number, since it uses less digits than its factorization.

1396819008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11021 (or 11008 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 1396819008 is about 37374.0419007632. The cubic root of 1396819008 is about 1117.8410279989.

The spelling of 1396819008 in words is "one billion, three hundred ninety-six million, eight hundred nineteen thousand, eight".