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1380353632 = 25734917657
BaseRepresentation
bin101001001000110…
…1000011001100000
310120012101020012121
41102101220121200
510311332304012
6344545434024
746130545420
oct12221503140
93505336177
101380353632
116491a0129
1232633b914
1318cc902c8
14d147a480
15812b3a07
hex52468660

1380353632 has 48 divisors (see below), whose sum is σ = 3114871200. Its totient is φ = 589851648.

The previous prime is 1380353627. The next prime is 1380353657. The reversal of 1380353632 is 2363530831.

It is a super-2 number, since 2×13803536322 = 3810752298751182848, which contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 69348 + ... + 87004.

It is an arithmetic number, because the mean of its divisors is an integer number (64893150).

Almost surely, 21380353632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1380353632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557435600).

1380353632 is an abundant number, since it is smaller than the sum of its proper divisors (1734517568).

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

1380353632 is a wasteful number, since it uses less digits than its factorization.

1380353632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18023 (or 18015 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 34.

The square root of 1380353632 is about 37153.1106638462. The cubic root of 1380353632 is about 1113.4313727554.

The spelling of 1380353632 in words is "one billion, three hundred eighty million, three hundred fifty-three thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 349 698 1396 2443 2792 4886 5584 9772 11168 17657 19544 35314 39088 70628 78176 123599 141256 247198 282512 494396 565024 988792 1977584 3955168 6162293 12324586 24649172 43136051 49298344 86272102 98596688 172544204 197193376 345088408 690176816 1380353632