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1140942012 = 2237172927551
BaseRepresentation
bin100010000000001…
…0110010010111100
32221111212212012120
41010000112102330
54314040121022
6305114202540
740162563360
oct10400262274
92844785176
101140942012
11536039691
1227a123450
131524b7222
14ab7592a0
156a271d5c
hex440164bc

1140942012 has 96 divisors (see below), whose sum is σ = 3332689920. Its totient is φ = 296217600.

The previous prime is 1140941999. The next prime is 1140942017. The reversal of 1140942012 is 2102490411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140942017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27637 + ... + 55187.

It is an arithmetic number, because the mean of its divisors is an integer number (34715520).

Almost surely, 21140942012 is an apocalyptic number.

1140942012 is a gapful number since it is divisible by the number (12) 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 1140942012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1666344960).

1140942012 is an abundant number, since it is smaller than the sum of its proper divisors (2191747908).

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

1140942012 is a wasteful number, since it uses less digits than its factorization.

1140942012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27611 (or 27609 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1140942012 is about 33777.8331454225. The cubic root of 1140942012 is about 1044.9315865257.

The spelling of 1140942012 in words is "one billion, one hundred forty million, nine hundred forty-two thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 29 34 42 51 58 68 84 87 102 116 119 174 203 204 238 348 357 406 476 493 609 714 812 986 1218 1428 1479 1972 2436 2958 3451 5916 6902 10353 13804 20706 27551 41412 55102 82653 110204 165306 192857 330612 385714 468367 578571 771428 798979 936734 1157142 1405101 1597958 1873468 2314284 2396937 2810202 3195916 3278569 4793874 5592853 5620404 6557138 9587748 9835707 11185706 13114276 13582643 16778559 19671414 22371412 27165286 33557118 39342828 40747929 54330572 67114236 81495858 95078501 162991716 190157002 285235503 380314004 570471006 1140942012