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1380106432 = 26532511621
BaseRepresentation
bin101001001000010…
…1100000011000000
310120011220200010001
41102100230003000
510311301401212
6344540245344
746125465625
oct12220540300
93504820101
101380106432
11649041431
12326240854
1318cc04933
14d141434c
1581265657
hex5242c0c0

1380106432 has 56 divisors (see below), whose sum is σ = 2803166352. Its totient is φ = 673920000.

The previous prime is 1380106417. The next prime is 1380106447. The reversal of 1380106432 is 2346010831.

It is an interprime number because it is at equal distance from previous prime (1380106417) and next prime (1380106447).

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1380106432.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 850582 + ... + 852202.

It is an arithmetic number, because the mean of its divisors is an integer number (50056542).

Almost surely, 21380106432 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 1380106432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1401583176).

1380106432 is an abundant number, since it is smaller than the sum of its proper divisors (1423059920).

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

1380106432 is a wasteful number, since it uses less digits than its factorization.

1380106432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1937 (or 1927 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 1380106432 is about 37149.7837409587. The cubic root of 1380106432 is about 1113.3649026709.

The spelling of 1380106432 in words is "one billion, three hundred eighty million, one hundred six thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 53 64 106 212 251 424 502 848 1004 1621 1696 2008 3242 3392 4016 6484 8032 12968 13303 16064 25936 26606 51872 53212 85913 103744 106424 171826 212848 343652 406871 425696 687304 813742 851392 1374608 1627484 2749216 3254968 5498432 6509936 13019872 21564163 26039744 43128326 86256652 172513304 345026608 690053216 1380106432