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1397114880 = 2113577389
BaseRepresentation
bin101001101000110…
…0100100000000000
310121100220210022120
41103101210200000
510330130134010
6350345004240
746423165140
oct12321444000
93540823276
101397114880
116576a90a7
1232ba83680
131935ab4c5
14d37a0920
15829c4e70
hex53464800

1397114880 has 384 divisors, whose sum is σ = 5236358400. Its totient is φ = 311427072.

The previous prime is 1397114843. The next prime is 1397114881. The reversal of 1397114880 is 884117931.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1397114881) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15697876 + ... + 15697964.

It is an arithmetic number, because the mean of its divisors is an integer number (13636350).

Almost surely, 21397114880 is an apocalyptic number.

1397114880 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 1397114880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2618179200).

1397114880 is an abundant number, since it is smaller than the sum of its proper divisors (3839243520).

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

1397114880 is an equidigital number, since it uses as much as digits as its factorization.

1397114880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 42.

The square root of 1397114880 is about 37377.9999464926. Note that the first 4 decimals coincide. The cubic root of 1397114880 is about 1117.9199488682.

The spelling of 1397114880 in words is "one billion, three hundred ninety-seven million, one hundred fourteen thousand, eight hundred eighty".