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1376706240 = 2633571317103
BaseRepresentation
bin101001000001110…
…1101111011000000
310112221111220221000
41102003231323000
510304414044430
6344335332000
746054544550
oct12203557300
93487456830
101376706240
11647129858
12325081000
1318c2b40a0
14d0bab160
1580ce2e60
hex520edec0

1376706240 has 896 divisors, whose sum is σ = 6390558720. Its totient is φ = 270729216.

The previous prime is 1376706229. The next prime is 1376706251. The reversal of 1376706240 is 426076731.

It is an interprime number because it is at equal distance from previous prime (1376706229) and next prime (1376706251).

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

It is a junction number, because it is equal to n+sod(n) for n = 1376706195 and 1376706204.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13366029 + ... + 13366131.

It is an arithmetic number, because the mean of its divisors is an integer number (7132320).

Almost surely, 21376706240 is an apocalyptic number.

1376706240 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 1376706240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3195279360).

1376706240 is an abundant number, since it is smaller than the sum of its proper divisors (5013852480).

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

1376706240 is a wasteful number, since it uses less digits than its factorization.

1376706240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 1376706240 is about 37103.9922380328. The cubic root of 1376706240 is about 1112.4498119850.

The spelling of 1376706240 in words is "one billion, three hundred seventy-six million, seven hundred six thousand, two hundred forty".