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1378391040 = 21033513259
BaseRepresentation
bin101001000101000…
…1001010000000000
310120001200112001000
41102022021100000
510310332003130
6344435412000
746105062525
oct12212112000
93501615030
101378391040
1164807a654
12325754000
1318c753c00
14d10c914c
1581027260
hex52289400

1378391040 has 528 divisors, whose sum is σ = 5394254400. Its totient is φ = 333545472.

The previous prime is 1378391023. The next prime is 1378391041. The reversal of 1378391040 is 401938731.

It is a happy number.

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 = 1378390986 and 1378391004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1378391041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23362531 + ... + 23362589.

Almost surely, 21378391040 is an apocalyptic number.

1378391040 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 1378391040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2697127200).

1378391040 is an abundant number, since it is smaller than the sum of its proper divisors (4015863360).

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

1378391040 is a wasteful number, since it uses less digits than its factorization.

1378391040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1378391040 is about 37126.6890524862. The cubic root of 1378391040 is about 1112.9034288237.

The spelling of 1378391040 in words is "one billion, three hundred seventy-eight million, three hundred ninety-one thousand, forty".