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1370831040 = 2635517261
BaseRepresentation
bin101000110110101…
…0011100011000000
310112112110102200000
41101231103203000
510301413043130
6344005400000
745653604645
oct12155234300
93475412600
101370831040
11643886717
12323109000
1318b007b37
14d00bbdcc
1580532260
hex51b538c0

1370831040 has 504 divisors, whose sum is σ = 5279422512. Its totient is φ = 338411520.

The previous prime is 1370831039. The next prime is 1370831041. The reversal of 1370831040 is 401380731.

It is an interprime number because it is at equal distance from previous prime (1370831039) and next prime (1370831041).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1370830995 and 1370831013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1370831041) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 22472610 + ... + 22472670.

Almost surely, 21370831040 is an apocalyptic number.

1370831040 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 1370831040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2639711256).

1370831040 is an abundant number, since it is smaller than the sum of its proper divisors (3908591472).

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

1370831040 is an equidigital number, since it uses as much as digits as its factorization.

1370831040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 88 counting only the distinct ones).

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

The square root of 1370831040 is about 37024.7355155982. The cubic root of 1370831040 is about 1110.8650670609.

The spelling of 1370831040 in words is "one billion, three hundred seventy million, eight hundred thirty-one thousand, forty".