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1397937024 = 2732111071031
BaseRepresentation
bin101001101010010…
…1101001110000000
310121102110120002100
41103110231032000
510330332441044
6350414350400
746433161101
oct12324551600
93542416070
101397937024
1165810a860
123301bb400
13193808793
14d39363a8
1582ad8869
hex5352d380

1397937024 has 192 divisors, whose sum is σ = 4433719680. Its totient is φ = 419251200.

The previous prime is 1397937007. The next prime is 1397937041. The reversal of 1397937024 is 4207397931.

It is an interprime number because it is at equal distance from previous prime (1397937007) and next prime (1397937041).

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1355389 + ... + 1356419.

It is an arithmetic number, because the mean of its divisors is an integer number (23092290).

Almost surely, 21397937024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1397937024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2216859840).

1397937024 is an abundant number, since it is smaller than the sum of its proper divisors (3035782656).

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

1397937024 is a wasteful number, since it uses less digits than its factorization.

1397937024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1169 (or 1154 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 1397937024 is about 37388.9960282434. The cubic root of 1397937024 is about 1118.1391890009.

The spelling of 1397937024 in words is "one billion, three hundred ninety-seven million, nine hundred thirty-seven thousand, twenty-four".