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1390855680 = 29325175367
BaseRepresentation
bin101001011100110…
…1100011000000000
310120221010210022100
41102321230120000
510322024340210
6350002510400
746316035554
oct12271543000
93527123270
101390855680
11654113505
12329965400
131921c9536
14d2a11864
158218a5c0
hex52e6c600

1390855680 has 480 divisors, whose sum is σ = 5274064224. Its totient is φ = 337379328.

The previous prime is 1390855679. The next prime is 1390855681. The reversal of 1390855680 is 865580931.

1390855680 is a `hidden beast` number, since 1 + 3 + 9 + 0 + 85 + 568 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1390855679) and next prime (1390855681).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1390855681) 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, 20759007 + ... + 20759073.

Almost surely, 21390855680 is an apocalyptic number.

1390855680 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 1390855680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2637032112).

1390855680 is an abundant number, since it is smaller than the sum of its proper divisors (3883208544).

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

1390855680 is a wasteful number, since it uses less digits than its factorization.

1390855680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 1390855680 is about 37294.1775616516. The cubic root of 1390855680 is about 1116.2479889796.

The spelling of 1390855680 in words is "one billion, three hundred ninety million, eight hundred fifty-five thousand, six hundred eighty".