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1390906944 = 26337216427
BaseRepresentation
bin101001011100111…
…1000111001000000
310120221020101122000
41102321320321000
510322033010234
6350003544000
746316341200
oct12271707100
93527211560
101390906944
11654148a79
1232998b000
1319221697b
14d2a26400
158219a899
hex52e78e40

1390906944 has 168 divisors, whose sum is σ = 4756891680. Its totient is φ = 397377792.

The previous prime is 1390906883. The next prime is 1390906949. The reversal of 1390906944 is 4496090931.

It is a tau number, because it is divible by the number of its divisors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 1390906944.

It is not an unprimeable number, because it can be changed into a prime (1390906949) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76459 + ... + 92885.

Almost surely, 21390906944 is an apocalyptic number.

1390906944 is a gapful number since it is divisible by the number (14) 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 1390906944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2378445840).

1390906944 is an abundant number, since it is smaller than the sum of its proper divisors (3365984736).

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

1390906944 is a wasteful number, since it uses less digits than its factorization.

1390906944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16462 (or 16439 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 1390906944 is about 37294.8648475899. The cubic root of 1390906944 is about 1116.2617029914.

The spelling of 1390906944 in words is "one billion, three hundred ninety million, nine hundred six thousand, nine hundred forty-four".