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1390688208 = 2432721315161
BaseRepresentation
bin101001011100100…
…0011011111010000
310120220211021120200
41102321003133100
510322004010313
6345555135200
746314440400
oct12271033720
93526737520
101390688208
116540096a8
123298a4500
1319216b240
14d29aa800
1582155b73
hex52e437d0

1390688208 has 180 divisors, whose sum is σ = 4876008228. Its totient is φ = 366750720.

The previous prime is 1390688177. The next prime is 1390688219. The reversal of 1390688208 is 8028860931.

It can be written as a sum of positive squares in 2 ways, for example, as 466041744 + 924646464 = 21588^2 + 30408^2 .

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, 84148 + ... + 99308.

Almost surely, 21390688208 is an apocalyptic number.

1390688208 is a gapful number since it is divisible by the number (18) 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 1390688208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2438004114).

1390688208 is an abundant number, since it is smaller than the sum of its proper divisors (3485320020).

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

1390688208 is a wasteful number, since it uses less digits than its factorization.

1390688208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15202 (or 15186 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 1390688208 is about 37291.9322106002. The cubic root of 1390688208 is about 1116.2031849573.

The spelling of 1390688208 in words is "one billion, three hundred ninety million, six hundred eighty-eight thousand, two hundred eight".