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1390469760 = 27335671201
BaseRepresentation
bin101001011100000…
…1110001010000000
310120220102011221000
41102320032022000
510321430013020
6345550332000
746312540461
oct12270161200
93526364830
101390469760
1165397a569
123297ba000
131920c2994
14d2950d68
1582111090
hex52e0e280

1390469760 has 256 divisors, whose sum is σ = 5002243200. Its totient is φ = 364953600.

The previous prime is 1390469749. The next prime is 1390469767. The reversal of 1390469760 is 679640931.

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 not an unprimeable number, because it can be changed into a prime (1390469767) 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 31 ways as a sum of consecutive naturals, for example, 1157160 + ... + 1158360.

Almost surely, 21390469760 is an apocalyptic number.

1390469760 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 1390469760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2501121600).

1390469760 is an abundant number, since it is smaller than the sum of its proper divisors (3611773440).

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

1390469760 is a wasteful number, since it uses less digits than its factorization.

1390469760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1296 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 1390469760 is about 37289.0032046983. The cubic root of 1390469760 is about 1116.1447378469.

The spelling of 1390469760 in words is "one billion, three hundred ninety million, four hundred sixty-nine thousand, seven hundred sixty".