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1390948920 = 2332523315419
BaseRepresentation
bin101001011101000…
…0011001000111000
310120221022112012200
41102322003020320
510322040331140
6350004510200
746316604444
oct12272031070
93527275180
101390948920
11654177569
123299ab360
1319222caca
14d2a37824
15821a8030
hex52e83238

1390948920 has 192 divisors, whose sum is σ = 4870195200. Its totient is φ = 343284480.

The previous prime is 1390948919. The next prime is 1390948931. The reversal of 1390948920 is 298490931.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 253971 + ... + 259389.

It is an arithmetic number, because the mean of its divisors is an integer number (25365600).

Almost surely, 21390948920 is an apocalyptic number.

1390948920 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 1390948920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2435097600).

1390948920 is an abundant number, since it is smaller than the sum of its proper divisors (3479246280).

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

1390948920 is a wasteful number, since it uses less digits than its factorization.

1390948920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5490 (or 5483 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 1390948920 is about 37295.4276017852. The cubic root of 1390948920 is about 1116.2729320508.

The spelling of 1390948920 in words is "one billion, three hundred ninety million, nine hundred forty-eight thousand, nine hundred twenty".