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1390704640 = 21151331337
BaseRepresentation
bin101001011100100…
…0111100000000000
310120220212010010021
41102321013200000
510322010022030
6345555343224
746314536323
oct12271074000
93526763107
101390704640
1165401aa86
123298b1b14
13192175870
14d29b27ba
158215a97a
hex52e47800

1390704640 has 192 divisors, whose sum is σ = 3720487680. Its totient is φ = 495452160.

The previous prime is 1390704613. The next prime is 1390704643. The reversal of 1390704640 is 464070931.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1390704596 and 1390704605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1390704643) 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 15 ways as a sum of consecutive naturals, for example, 4126552 + ... + 4126888.

It is an arithmetic number, because the mean of its divisors is an integer number (19377540).

Almost surely, 21390704640 is an apocalyptic number.

1390704640 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 1390704640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1860243840).

1390704640 is an abundant number, since it is smaller than the sum of its proper divisors (2329783040).

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

1390704640 is a wasteful number, since it uses less digits than its factorization.

1390704640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The square root of 1390704640 is about 37292.1525256990. The cubic root of 1390704640 is about 1116.2075811927.

The spelling of 1390704640 in words is "one billion, three hundred ninety million, seven hundred four thousand, six hundred forty".