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1370116440 = 23325721123307
BaseRepresentation
bin101000110101010…
…0101000101011000
310112111010010102100
41101222211011120
510301222211230
6343542203400
745644540400
oct12152450530
93474103370
101370116440
11643438840
12322a23560
1318ab177b4
14cdd73800
1580440660
hex51aa5158

1370116440 has 576 divisors, whose sum is σ = 5915669760. Its totient is φ = 271434240.

The previous prime is 1370116427. The next prime is 1370116459. The reversal of 1370116440 is 446110731.

It is a happy number.

1370116440 is a `hidden beast` number, since 1 + 3 + 7 + 0 + 11 + 644 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 4462767 + ... + 4463073.

It is an arithmetic number, because the mean of its divisors is an integer number (10270260).

Almost surely, 21370116440 is an apocalyptic number.

1370116440 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 1370116440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2957834880).

1370116440 is an abundant number, since it is smaller than the sum of its proper divisors (4545553320).

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

1370116440 is a wasteful number, since it uses less digits than its factorization.

1370116440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1370116440 is about 37015.0839523565. The cubic root of 1370116440 is about 1110.6720060317.

The spelling of 1370116440 in words is "one billion, three hundred seventy million, one hundred sixteen thousand, four hundred forty".