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142966296 = 23341131647
BaseRepresentation
bin10001000010101…
…11111000011000
3100222000102220000
420201113320120
5243044410141
622104133000
73354123234
oct1041277030
9328012800
10142966296
1173778770
123ba67160
1323808555
1414db75c4
15c8405b6
hex8857e18

142966296 has 160 divisors (see below), whose sum is σ = 451630080. Its totient is φ = 41860800.

The previous prime is 142966267. The next prime is 142966297. The reversal of 142966296 is 692669241.

142966296 is a `hidden beast` number, since 14 + 2 + 9 + 6 + 629 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142966297) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 220645 + ... + 221291.

It is an arithmetic number, because the mean of its divisors is an integer number (2822688).

Almost surely, 2142966296 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 142966296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225815040).

142966296 is an abundant number, since it is smaller than the sum of its proper divisors (308663784).

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

142966296 is a wasteful number, since it uses less digits than its factorization.

142966296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 694 counting only the distinct ones).

The product of its digits is 279936, while the sum is 45.

The square root of 142966296 is about 11956.8514250199. The cubic root of 142966296 is about 522.8910662522.

The spelling of 142966296 in words is "one hundred forty-two million, nine hundred sixty-six thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 31 33 36 44 54 62 66 72 81 88 93 99 108 124 132 162 186 198 216 248 264 279 297 324 341 372 396 558 594 647 648 682 744 792 837 891 1023 1116 1188 1294 1364 1674 1782 1941 2046 2232 2376 2511 2588 2728 3069 3348 3564 3882 4092 5022 5176 5823 6138 6696 7117 7128 7764 8184 9207 10044 11646 12276 14234 15528 17469 18414 20057 20088 21351 23292 24552 27621 28468 34938 36828 40114 42702 46584 52407 55242 56936 60171 64053 69876 73656 80228 85404 104814 110484 120342 128106 139752 160456 170808 180513 192159 209628 220627 220968 240684 256212 361026 384318 419256 441254 481368 512424 541539 576477 661881 722052 768636 882508 1083078 1152954 1323762 1444104 1537272 1624617 1765016 1985643 2166156 2305908 2647524 3249234 3971286 4332312 4611816 5295048 5956929 6498468 7942572 11913858 12996936 15885144 17870787 23827716 35741574 47655432 71483148 142966296