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1166072940 = 2232519340957
BaseRepresentation
bin100010110000000…
…1101110001101100
310000021011122100200
41011200031301230
54342003313230
6311412553500
740616312364
oct10540156154
93007148320
101166072940
1154924394a
12286622890
13157775bb6
14b0c1b9a4
156c588160
hex4580dc6c

1166072940 has 72 divisors (see below), whose sum is σ = 3723261360. Its totient is φ = 294585984.

The previous prime is 1166072933. The next prime is 1166072951. The reversal of 1166072940 is 492706611.

1166072940 is a `hidden beast` number, since 1 + 1 + 6 + 607 + 2 + 9 + 40 = 666.

It is a super-2 number, since 2×11660729402 = 2719452202800487200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1166072895 and 1166072904.

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 23 ways as a sum of consecutive naturals, for example, 167059 + ... + 173898.

Almost surely, 21166072940 is an apocalyptic number.

1166072940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1166072940 is an abundant number, since it is smaller than the sum of its proper divisors (2557188420).

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

1166072940 is a wasteful number, since it uses less digits than its factorization.

1166072940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340991 (or 340986 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1166072940 is about 34147.8101786923. The cubic root of 1166072940 is about 1052.5479887771.

The spelling of 1166072940 in words is "one billion, one hundred sixty-six million, seventy-two thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 340957 681914 1022871 1363828 1704785 2045742 3068613 3409570 4091484 5114355 6137226 6478183 6819140 10228710 12274452 12956366 15343065 19434549 20457420 25912732 30686130 32390915 38869098 58303647 61372260 64781830 77738196 97172745 116607294 129563660 194345490 233214588 291518235 388690980 583036470 1166072940