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142560992 = 2572235967
BaseRepresentation
bin10000111111101…
…00111011100000
3100221020211220202
420133310323200
5242443422432
622051324332
73350514500
oct1037647340
9327224822
10142560992
1173521202
123b8b06a8
13236c5c22
1414d0da00
15c7b0462
hex87f4ee0

142560992 has 144 divisors (see below), whose sum is σ = 351630720. Its totient is φ = 56593152.

The previous prime is 142560989. The next prime is 142561019. The reversal of 142560992 is 299065241.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2127743 + ... + 2127809.

It is an arithmetic number, because the mean of its divisors is an integer number (2441880).

Almost surely, 2142560992 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 142560992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175815360).

142560992 is an abundant number, since it is smaller than the sum of its proper divisors (209069728).

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

142560992 is a wasteful number, since it uses less digits than its factorization.

142560992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 38.

The square root of 142560992 is about 11939.8907867702. The cubic root of 142560992 is about 522.3964731588.

The spelling of 142560992 in words is "one hundred forty-two million, five hundred sixty thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 49 56 59 67 92 98 112 118 134 161 184 196 224 236 268 322 368 392 413 469 472 536 644 736 784 826 938 944 1072 1127 1288 1357 1541 1568 1652 1876 1888 2144 2254 2576 2714 2891 3082 3283 3304 3752 3953 4508 5152 5428 5782 6164 6566 6608 7504 7906 9016 9499 10787 10856 11564 12328 13132 13216 15008 15812 18032 18998 21574 21712 23128 24656 26264 27671 31624 36064 37996 43148 43424 46256 49312 52528 55342 63248 66493 75509 75992 86296 90919 92512 105056 110684 126496 132986 151018 151984 172592 181838 193697 221368 265972 302036 303968 345184 363676 387394 442736 531944 604072 636433 727352 774788 885472 1063888 1208144 1272866 1454704 1549576 2127776 2416288 2545732 2909408 3099152 4455031 5091464 6198304 8910062 10182928 17820124 20365856 35640248 71280496 142560992