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1130392920 = 233537254593
BaseRepresentation
bin100001101100000…
…0110110101011000
32220210000220120110
41003120012311120
54303340033140
6304100124320
740004116116
oct10330066530
92823026513
101130392920
11530093a28
122766966a0
13150262767
14aa1b0ab6
156938b380
hex43606d58

1130392920 has 64 divisors (see below), whose sum is σ = 3482845920. Its totient is φ = 293289984.

The previous prime is 1130392877. The next prime is 1130392997. The reversal of 1130392920 is 292930311.

It is a happy number.

It is a super-3 number, since 3×11303929203 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 122857 + ... + 131736.

Almost surely, 21130392920 is an apocalyptic number.

1130392920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1130392920 is an abundant number, since it is smaller than the sum of its proper divisors (2352453000).

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

1130392920 is a wasteful number, since it uses less digits than its factorization.

1130392920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254644 (or 254640 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 1130392920 is about 33621.3164525127. The cubic root of 1130392920 is about 1041.7011483270.

The spelling of 1130392920 in words is "one billion, one hundred thirty million, three hundred ninety-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 555 740 888 1110 1480 2220 4440 254593 509186 763779 1018372 1272965 1527558 2036744 2545930 3055116 3818895 5091860 6110232 7637790 9419941 10183720 15275580 18839882 28259823 30551160 37679764 47099705 56519646 75359528 94199410 113039292 141299115 188398820 226078584 282598230 376797640 565196460 1130392920