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1146466140 = 223590721067
BaseRepresentation
bin100010001010101…
…1010111101011100
32221220021111212220
41010111122331130
54321443404030
6305432425340
740260541611
oct10425327534
92856244786
101146466140
11539171a86
1227bb48250
1315369c741
14ac396508
156a9b3a10
hex4455af5c

1146466140 has 48 divisors (see below), whose sum is σ = 3213796992. Its totient is φ = 305372736.

The previous prime is 1146466133. The next prime is 1146466171. The reversal of 1146466140 is 416646411.

It is a super-2 number, since 2×11464661402 = 2628769220332999200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43887 + ... + 64953.

It is an arithmetic number, because the mean of its divisors is an integer number (66954104).

Almost surely, 21146466140 is an apocalyptic number.

1146466140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1146466140 is an abundant number, since it is smaller than the sum of its proper divisors (2067330852).

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

1146466140 is a wasteful number, since it uses less digits than its factorization.

1146466140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21986 (or 21984 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 1146466140 is about 33859.5059030695. The cubic root of 1146466140 is about 1046.6152960485.

It can be divided in two parts, 114646 and 6140, that added together give a triangular number (120786 = T491).

The spelling of 1146466140 in words is "one billion, one hundred forty-six million, four hundred sixty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 907 1814 2721 3628 4535 5442 9070 10884 13605 18140 21067 27210 42134 54420 63201 84268 105335 126402 210670 252804 316005 421340 632010 1264020 19107769 38215538 57323307 76431076 95538845 114646614 191077690 229293228 286616535 382155380 573233070 1146466140