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1359977112 = 23321313910453
BaseRepresentation
bin101000100001111…
…1001101010011000
310111210000222212200
41101003321222120
510241123231422
6342541010200
745462420564
oct12103715230
93453028780
101359977112
11638742a2a
1231b553960
131889a76b0
14cc8946a4
157e5db2ac
hex510f9a98

1359977112 has 96 divisors (see below), whose sum is σ = 3995518800. Its totient is φ = 415404288.

The previous prime is 1359977077. The next prime is 1359977131. The reversal of 1359977112 is 2117799531.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 124878 + ... + 135330.

Almost surely, 21359977112 is an apocalyptic number.

1359977112 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 1359977112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997759400).

1359977112 is an abundant number, since it is smaller than the sum of its proper divisors (2635541688).

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

1359977112 is a wasteful number, since it uses less digits than its factorization.

1359977112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10617 (or 10610 counting only the distinct ones).

The product of its digits is 119070, while the sum is 45.

The square root of 1359977112 is about 36877.8675088460. The cubic root of 1359977112 is about 1107.9254360367.

The spelling of 1359977112 in words is "one billion, three hundred fifty-nine million, nine hundred seventy-seven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 139 156 234 278 312 417 468 556 834 936 1112 1251 1668 1807 2502 3336 3614 5004 5421 7228 10008 10453 10842 14456 16263 20906 21684 31359 32526 41812 43368 62718 65052 83624 94077 125436 130104 135889 188154 250872 271778 376308 407667 543556 752616 815334 1087112 1223001 1452967 1630668 2446002 2905934 3261336 4358901 4892004 5811868 8717802 9784008 11623736 13076703 17435604 18888571 26153406 34871208 37777142 52306812 56665713 75554284 104613624 113331426 151108568 169997139 226662852 339994278 453325704 679988556 1359977112