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1125546304 = 26591731723
BaseRepresentation
bin100001100010110…
…0111100101000000
32220102220200021011
41003011213211000
54301114440204
6303404210304
736614662051
oct10305474500
92812820234
101125546304
11528383663
12274b39994
1314c25673c
14a96ac728
1568c30304
hex43167940

1125546304 has 56 divisors (see below), whose sum is σ = 2285817120. Its totient is φ = 549717504.

The previous prime is 1125546287. The next prime is 1125546307. The reversal of 1125546304 is 4036455211.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1125546307) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 652387 + ... + 654109.

It is a vampire number, since it can be written as 2041455136 (with its own digits).

Almost surely, 21125546304 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 1125546304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142908560).

1125546304 is an abundant number, since it is smaller than the sum of its proper divisors (1160270816).

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

1125546304 is a wasteful number, since it uses less digits than its factorization.

1125546304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1967 (or 1957 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 31.

The square root of 1125546304 is about 33549.1624932725. The cubic root of 1125546304 is about 1040.2102336330.

The spelling of 1125546304 in words is "one billion, one hundred twenty-five million, five hundred forty-six thousand, three hundred four".

Divisors: 1 2 4 8 16 32 59 64 118 173 236 346 472 692 944 1384 1723 1888 2768 3446 3776 5536 6892 10207 11072 13784 20414 27568 40828 55136 81656 101657 110272 163312 203314 298079 326624 406628 596158 653248 813256 1192316 1626512 2384632 3253024 4769264 6506048 9538528 17586661 19077056 35173322 70346644 140693288 281386576 562773152 1125546304