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1390851072 = 210321321947
BaseRepresentation
bin101001011100110…
…1011010000000000
310120221010112222200
41102321223100000
510322024213242
6350002433200
746316016252
oct12271532000
93527115880
101390851072
1165410aaa6
12329962800
131921c7400
14d2a0dcd2
158218904c
hex52e6b400

1390851072 has 396 divisors, whose sum is σ = 4675020480. Its totient is φ = 396804096.

The previous prime is 1390851067. The next prime is 1390851109. The reversal of 1390851072 is 2701580931.

1390851072 is a `hidden beast` number, since 139 + 0 + 8 + 510 + 7 + 2 = 666.

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 35 ways as a sum of consecutive naturals, for example, 29592553 + ... + 29592599.

Almost surely, 21390851072 is an apocalyptic number.

1390851072 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 1390851072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2337510240).

1390851072 is an abundant number, since it is smaller than the sum of its proper divisors (3284169408).

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

1390851072 is a wasteful number, since it uses less digits than its factorization.

1390851072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 1390851072 is about 37294.1157825199. The cubic root of 1390851072 is about 1116.2467562429.

It can be divided in two parts, 13908 and 51072, that added together give a triangular number (64980 = T360).

The spelling of 1390851072 in words is "one billion, three hundred ninety million, eight hundred fifty-one thousand, seventy-two".