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1397401632 = 25351117312
BaseRepresentation
bin101001101001010…
…1010100000100000
310121101110100200000
41103102222200200
510330213323012
6350355100000
746425501144
oct12322524040
93541410600
101397401632
11657884590
1232bba1600
1319367bb93
14d3837224
1582a2eddc
hex534aa820

1397401632 has 432 divisors, whose sum is σ = 4918638816. Its totient is φ = 385689600.

The previous prime is 1397401613. The next prime is 1397401651. The reversal of 1397401632 is 2361047931.

1397401632 is a `hidden beast` number, since 13 + 9 + 7 + 4 + 0 + 1 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (1397401613) and next prime (1397401651).

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×13974016322 = 3905462642232526848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 45077457 + ... + 45077487.

It is an arithmetic number, because the mean of its divisors is an integer number (11385738).

Almost surely, 21397401632 is an apocalyptic number.

1397401632 is a gapful number since it is divisible by the number (12) 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 1397401632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2459319408).

1397401632 is an abundant number, since it is smaller than the sum of its proper divisors (3521237184).

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

1397401632 is a wasteful number, since it uses less digits than its factorization.

1397401632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 1397401632 is about 37381.8355889595. The cubic root of 1397401632 is about 1117.9964264380.

The spelling of 1397401632 in words is "one billion, three hundred ninety-seven million, four hundred one thousand, six hundred thirty-two".