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1390036032 = 263371131337
BaseRepresentation
bin101001011011010…
…0100010001000000
310120212121010222000
41102312210101000
510321322123112
6345533144000
746306053120
oct12266442100
93525533860
101390036032
11653703710
1232962b000
13191ca0438
14d287ac80
15820777dc
hex52da4440

1390036032 has 448 divisors, whose sum is σ = 5274746880. Its totient is φ = 348364800.

The previous prime is 1390036019. The next prime is 1390036061. The reversal of 1390036032 is 2306300931.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1390035987 and 1390036005.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4124568 + ... + 4124904.

Almost surely, 21390036032 is an apocalyptic number.

1390036032 is a gapful number since it is divisible by the number (12) 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 1390036032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2637373440).

1390036032 is an abundant number, since it is smaller than the sum of its proper divisors (3884710848).

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

1390036032 is a wasteful number, since it uses less digits than its factorization.

1390036032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

The square root of 1390036032 is about 37283.1869882391. The cubic root of 1390036032 is about 1116.0286730984.

Adding to 1390036032 its reverse (2306300931), we get a palindrome (3696336963).

The spelling of 1390036032 in words is "one billion, three hundred ninety million, thirty-six thousand, thirty-two".