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1378962240 = 263519223173
BaseRepresentation
bin101001000110001…
…0100101101000000
310120002202112120120
41102030110231000
510311003242430
6344455540240
746112662035
oct12214245500
93502675516
101378962240
1164842a817
1232598a680
1318c8c3bb6
14d11d738c
15810db610
hex52314b40

1378962240 has 336 divisors, whose sum is σ = 4849538688. Its totient is φ = 331296768.

The previous prime is 1378962239. The next prime is 1378962241. The reversal of 1378962240 is 422698731.

It is an interprime number because it is at equal distance from previous prime (1378962239) and next prime (1378962241).

It is a junction number, because it is equal to n+sod(n) for n = 1378962192 and 1378962201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1378962241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7970794 + ... + 7970966.

Almost surely, 21378962240 is an apocalyptic number.

1378962240 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 1378962240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2424769344).

1378962240 is an abundant number, since it is smaller than the sum of its proper divisors (3470576448).

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

1378962240 is a wasteful number, since it uses less digits than its factorization.

1378962240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 1378962240 is about 37134.3808350160. The cubic root of 1378962240 is about 1113.0571352420.

The spelling of 1378962240 in words is "one billion, three hundred seventy-eight million, nine hundred sixty-two thousand, two hundred forty".