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142900776 = 233217313373
BaseRepresentation
bin10001000010001…
…11111000101000
3100221220010000100
420201013320220
5243040311101
622102505400
73353431224
oct1041077050
9327803010
10142900776
1173733517
123ba35260
13237b4795
1414d9b784
15c82ae86
hex8847e28

142900776 has 96 divisors (see below), whose sum is σ = 412200360. Its totient is φ = 44568576.

The previous prime is 142900753. The next prime is 142900829. The reversal of 142900776 is 677009241.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 100520676 + 42380100 = 10026^2 + 6510^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 142900776.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 382926 + ... + 383298.

Almost surely, 2142900776 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 142900776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206100180).

142900776 is an abundant number, since it is smaller than the sum of its proper divisors (269299584).

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

142900776 is a wasteful number, since it uses less digits than its factorization.

142900776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 142900776 is about 11954.1112593116. Note that the first 3 decimals coincide. The cubic root of 142900776 is about 522.8111754933.

The spelling of 142900776 in words is "one hundred forty-two million, nine hundred thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 313 373 408 612 626 746 939 1119 1224 1252 1492 1878 2238 2504 2817 2984 3357 3756 4476 5321 5634 6341 6714 7512 8952 10642 11268 12682 13428 15963 19023 21284 22536 25364 26856 31926 38046 42568 47889 50728 57069 63852 76092 95778 114138 116749 127704 152184 191556 228276 233498 350247 383112 456552 466996 700494 933992 1050741 1400988 1984733 2101482 2801976 3969466 4202964 5954199 7938932 8405928 11908398 15877864 17862597 23816796 35725194 47633592 71450388 142900776