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1125021696 = 2113712579
BaseRepresentation
bin100001100001110…
…0111100000000000
32220101221000122020
41003003213200000
54301001143241
6303345041440
736610345431
oct10303474000
92811830566
101125021696
115280554a7
12274926280
1314c101a16
14a95b3488
1568b79b66
hex430e7800

1125021696 has 96 divisors (see below), whose sum is σ = 3042748800. Its totient is φ = 369582080.

The previous prime is 1125021683. The next prime is 1125021697. The reversal of 1125021696 is 6961205211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1125021697) 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, 434935 + ... + 437513.

It is an arithmetic number, because the mean of its divisors is an integer number (31695300).

Almost surely, 21125021696 is an apocalyptic number.

1125021696 is a gapful number since it is divisible by the number (16) 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 1125021696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1521374400).

1125021696 is an abundant number, since it is smaller than the sum of its proper divisors (1917727104).

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

1125021696 is an equidigital number, since it uses as much as digits as its factorization.

1125021696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2675 (or 2655 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 1125021696 is about 33541.3430858098. The cubic root of 1125021696 is about 1040.0485973346.

The spelling of 1125021696 in words is "one billion, one hundred twenty-five million, twenty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 71 96 128 142 192 213 256 284 384 426 512 568 768 852 1024 1136 1536 1704 2048 2272 2579 3072 3408 4544 5158 6144 6816 7737 9088 10316 13632 15474 18176 20632 27264 30948 36352 41264 54528 61896 72704 82528 109056 123792 145408 165056 183109 218112 247584 330112 366218 436224 495168 549327 660224 732436 990336 1098654 1320448 1464872 1980672 2197308 2640896 2929744 3961344 4394616 5281792 5859488 7922688 8789232 11718976 15845376 17578464 23437952 35156928 46875904 70313856 93751808 140627712 187503616 281255424 375007232 562510848 1125021696