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1390822272 = 27337243191
BaseRepresentation
bin101001011100110…
…0100001110000000
310120221002002111000
41102321210032000
510322022303042
6350002052000
746315536300
oct12271441600
93527062430
101390822272
116540a03a4
1232994a000
131921b7278
14d2a03600
158218074c
hex52e64380

1390822272 has 384 divisors, whose sum is σ = 4911667200. Its totient is φ = 386104320.

The previous prime is 1390822271. The next prime is 1390822289. The reversal of 1390822272 is 2722280931.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1390822271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7281697 + ... + 7281887.

It is an arithmetic number, because the mean of its divisors is an integer number (12790800).

Almost surely, 21390822272 is an apocalyptic number.

1390822272 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 1390822272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2455833600).

1390822272 is an abundant number, since it is smaller than the sum of its proper divisors (3520844928).

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

1390822272 is a wasteful number, since it uses less digits than its factorization.

1390822272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 1390822272 is about 37293.7296606279. The cubic root of 1390822272 is about 1116.2390515770.

The spelling of 1390822272 in words is "one billion, three hundred ninety million, eight hundred twenty-two thousand, two hundred seventy-two".