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1390469400 = 23325219109373
BaseRepresentation
bin101001011100000…
…1110000100011000
310120220102011102200
41102320032010120
510321430010100
6345550330200
746312536435
oct12270160430
93526364380
101390469400
1165397a271
123297b9960
131920c2778
14d2950b8c
1582110e00
hex52e0e118

1390469400 has 288 divisors, whose sum is σ = 4973826000. Its totient is φ = 347120640.

The previous prime is 1390469383. The next prime is 1390469411. The reversal of 1390469400 is 49640931.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3727614 + ... + 3727986.

Almost surely, 21390469400 is an apocalyptic number.

1390469400 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 1390469400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2486913000).

1390469400 is an abundant number, since it is smaller than the sum of its proper divisors (3583356600).

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

1390469400 is a wasteful number, since it uses less digits than its factorization.

1390469400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 1390469400 is about 37288.9983775376. The cubic root of 1390469400 is about 1116.1446415216.

The spelling of 1390469400 in words is "one billion, three hundred ninety million, four hundred sixty-nine thousand, four hundred".