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142912680 = 23351923299
BaseRepresentation
bin10001000010010…
…10110010101000
3100221220201100020
420201022302220
5243041201210
622103040440
73353511021
oct1041126250
9327821306
10142912680
1173741459
123ba40120
13237ba021
1414da1c48
15c82e770
hex884aca8

142912680 has 96 divisors (see below), whose sum is σ = 452628000. Its totient is φ = 36093312.

The previous prime is 142912673. The next prime is 142912681. The reversal of 142912680 is 86219241.

It is not an unprimeable number, because it can be changed into a prime (142912681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41671 + ... + 44969.

It is an arithmetic number, because the mean of its divisors is an integer number (4714875).

Almost surely, 2142912680 is an apocalyptic number.

142912680 is a gapful number since it is divisible by the number (10) 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 142912680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226314000).

142912680 is an abundant number, since it is smaller than the sum of its proper divisors (309715320).

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

142912680 is a wasteful number, since it uses less digits than its factorization.

142912680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3351 (or 3328 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 142912680 is about 11954.6091529585. The cubic root of 142912680 is about 522.8256922594.

The spelling of 142912680 in words is "one hundred forty-two million, nine hundred twelve thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 285 361 380 456 570 722 760 1083 1140 1444 1805 2166 2280 2888 3299 3610 4332 5415 6598 7220 8664 9897 10830 13196 14440 16495 19794 21660 26392 32990 39588 43320 49485 62681 65980 79176 98970 125362 131960 188043 197940 250724 313405 376086 395880 501448 626810 752172 940215 1190939 1253620 1504344 1880430 2381878 2507240 3572817 3760860 4763756 5954695 7145634 7521720 9527512 11909390 14291268 17864085 23818780 28582536 35728170 47637560 71456340 142912680