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1142000664 = 23373138727
BaseRepresentation
bin100010000010001…
…1000110000011000
32221120212122101220
41010010120300120
54314323010124
6305153012040
740204563000
oct10404306030
92846778356
101142000664
115366a2002
1227a554020
1315279804c
14ab953000
156a3d0879
hex44118c18

1142000664 has 64 divisors (see below), whose sum is σ = 3329472000. Its totient is φ = 326283552.

The previous prime is 1142000663. The next prime is 1142000683. The reversal of 1142000664 is 4660002411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142000663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61132 + ... + 77595.

It is an arithmetic number, because the mean of its divisors is an integer number (52023000).

Almost surely, 21142000664 is an apocalyptic number.

1142000664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1142000664 is an abundant number, since it is smaller than the sum of its proper divisors (2187471336).

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

1142000664 is a wasteful number, since it uses less digits than its factorization.

1142000664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138757 (or 138739 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 1142000664 is about 33793.5003218074. The cubic root of 1142000664 is about 1045.2546753810.

The spelling of 1142000664 in words is "one billion, one hundred forty-two million, six hundred sixty-four", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 343 392 588 686 1029 1176 1372 2058 2744 4116 8232 138727 277454 416181 554908 832362 971089 1109816 1664724 1942178 2913267 3329448 3884356 5826534 6797623 7768712 11653068 13595246 20392869 23306136 27190492 40785738 47583361 54380984 81571476 95166722 142750083 163142952 190333444 285500166 380666888 571000332 1142000664