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1126670112 = 253217322613
BaseRepresentation
bin100001100100111…
…1001111100100000
32220112000202211200
41003021321330200
54301411420422
6303444241200
736630352341
oct10311717440
92815022750
101126670112
11528a80a27
122753a0200
1314c55b109
14a98c20c8
1568da32ac
hex43279f20

1126670112 has 72 divisors (see below), whose sum is σ = 3222630684. Its totient is φ = 373369344.

The previous prime is 1126670099. The next prime is 1126670123. The reversal of 1126670112 is 2110766211.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1078728336 + 47941776 = 32844^2 + 6924^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38518 + ... + 61130.

Almost surely, 21126670112 is an apocalyptic number.

1126670112 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 1126670112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611315342).

1126670112 is an abundant number, since it is smaller than the sum of its proper divisors (2095960572).

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

1126670112 is a wasteful number, since it uses less digits than its factorization.

1126670112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22802 (or 22791 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 1126670112 is about 33565.9069890864. The cubic root of 1126670112 is about 1040.5563197158.

The spelling of 1126670112 in words is "one billion, one hundred twenty-six million, six hundred seventy thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 173 288 346 519 692 1038 1384 1557 2076 2768 3114 4152 5536 6228 8304 12456 16608 22613 24912 45226 49824 67839 90452 135678 180904 203517 271356 361808 407034 542712 723616 814068 1085424 1628136 2170848 3256272 3912049 6512544 7824098 11736147 15648196 23472294 31296392 35208441 46944588 62592784 70416882 93889176 125185568 140833764 187778352 281667528 375556704 563335056 1126670112