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142266564 = 223311313863
BaseRepresentation
bin10000111101011…
…01000011000100
3100220200220001000
420132231003010
5242410012224
622041133300
73345150216
oct1036550304
9326626030
10142266564
117333aa80
123b78a230
1323621bcb
1414c745b6
15c7530c9
hex87ad0c4

142266564 has 96 divisors (see below), whose sum is σ = 415457280. Its totient is φ = 41709600.

The previous prime is 142266559. The next prime is 142266571. The reversal of 142266564 is 465662241.

142266564 is a `hidden beast` number, since 14 + 22 + 66 + 564 = 666.

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

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, 34897 + ... + 38759.

It is an arithmetic number, because the mean of its divisors is an integer number (4327680).

Almost surely, 2142266564 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 142266564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207728640).

142266564 is an abundant number, since it is smaller than the sum of its proper divisors (273190716).

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

142266564 is a wasteful number, since it uses less digits than its factorization.

142266564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3918 (or 3910 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 142266564 is about 11927.5548206663. The cubic root of 142266564 is about 522.0365940788.

The spelling of 142266564 in words is "one hundred forty-two million, two hundred sixty-six thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 31 33 36 44 54 62 66 93 99 108 124 132 186 198 279 297 341 372 396 558 594 682 837 1023 1116 1188 1364 1674 2046 3069 3348 3863 4092 6138 7726 9207 11589 12276 15452 18414 23178 34767 36828 42493 46356 69534 84986 104301 119753 127479 139068 169972 208602 239506 254958 359259 382437 417204 479012 509916 718518 764874 1077777 1147311 1317283 1437036 1529748 2155554 2294622 2634566 3233331 3951849 4311108 4589244 5269132 6466662 7903698 11855547 12933324 15807396 23711094 35566641 47422188 71133282 142266564