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1121328960 = 26357571543
BaseRepresentation
bin100001011010110…
…0001111101000000
32220010222102011020
41002311201331000
54244030011320
6303133545440
736534065433
oct10265417500
92803872136
101121328960
11525a63054
12273645280
1314b40ac7b
14a8cd181a
156869a940
hex42d61f40

1121328960 has 112 divisors (see below), whose sum is σ = 3567232896. Its totient is φ = 298432512.

The previous prime is 1121328917. The next prime is 1121328977. The reversal of 1121328960 is 698231211.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 725949 + ... + 727491.

Almost surely, 21121328960 is an apocalyptic number.

1121328960 is a gapful number since it is divisible by the number (10) 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 1121328960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1783616448).

1121328960 is an abundant number, since it is smaller than the sum of its proper divisors (2445903936).

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

1121328960 is a wasteful number, since it uses less digits than its factorization.

1121328960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2320 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 1121328960 is about 33486.2503126283. The cubic root of 1121328960 is about 1038.9094090250.

The spelling of 1121328960 in words is "one billion, one hundred twenty-one million, three hundred twenty-eight thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 757 960 1514 1543 2271 3028 3086 3785 4542 4629 6056 6172 7570 7715 9084 9258 11355 12112 12344 15140 15430 18168 18516 22710 23145 24224 24688 30280 30860 36336 37032 45420 46290 48448 49376 60560 61720 72672 74064 90840 92580 98752 121120 123440 145344 148128 181680 185160 242240 246880 296256 363360 370320 493760 726720 740640 1168051 1481280 2336102 3504153 4672204 5840255 7008306 9344408 11680510 14016612 17520765 18688816 23361020 28033224 35041530 37377632 46722040 56066448 70083060 74755264 93444080 112132896 140166120 186888160 224265792 280332240 373776320 560664480 1121328960