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1146244164 = 2231337712797
BaseRepresentation
bin100010001010010…
…0100110001000100
32221212212020101120
41010110210301010
54321414303124
6305423553540
740255625502
oct10424446104
92855766346
101146244164
1153903022a
1227ba5b8b0
131536226b0
14ac339672
156a96cd79
hex44524c44

1146244164 has 96 divisors (see below), whose sum is σ = 3000888576. Its totient is φ = 338204160.

The previous prime is 1146244117. The next prime is 1146244181. The reversal of 1146244164 is 4614426411.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 408414 + ... + 411210.

It is an arithmetic number, because the mean of its divisors is an integer number (31259256).

Almost surely, 21146244164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1146244164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500444288).

1146244164 is an abundant number, since it is smaller than the sum of its proper divisors (1854644412).

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

1146244164 is a wasteful number, since it uses less digits than its factorization.

1146244164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2925 (or 2923 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 1146244164 is about 33856.2278465868. The cubic root of 1146244164 is about 1046.5477439814.

The spelling of 1146244164 in words is "one billion, one hundred forty-six million, two hundred forty-four thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 26 37 39 52 71 74 78 111 142 148 156 213 222 284 426 444 481 852 923 962 1443 1846 1924 2627 2769 2797 2886 3692 5254 5538 5594 5772 7881 8391 10508 11076 11188 15762 16782 31524 33564 34151 36361 68302 72722 102453 103489 109083 136604 145444 198587 204906 206978 218166 310467 397174 409812 413956 436332 595761 620934 794348 1191522 1241868 1345357 2383044 2581631 2690714 4036071 5163262 5381428 7347719 7744893 8072142 10326524 14695438 15489786 16144284 22043157 29390876 30979572 44086314 88172628 95520347 191040694 286561041 382081388 573122082 1146244164