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142466120 = 23517535967
BaseRepresentation
bin10000111110111…
…01110001001000
3100221002000202222
420133131301020
5242432403440
622045313212
73346641056
oct1037356110
9327060688
10142466120
11734669a5
123b865808
13236919a4
1414cc71d6
15c7922b5
hex87ddc48

142466120 has 128 divisors (see below), whose sum is σ = 356918400. Its totient is φ = 50958336.

The previous prime is 142466119. The next prime is 142466147. The reversal of 142466120 is 21664241.

142466120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 142466120.

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, 2126327 + ... + 2126393.

It is an arithmetic number, because the mean of its divisors is an integer number (2788425).

Almost surely, 2142466120 is an apocalyptic number.

142466120 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 142466120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178459200).

142466120 is an abundant number, since it is smaller than the sum of its proper divisors (214452280).

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

142466120 is a wasteful number, since it uses less digits than its factorization.

142466120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

The square root of 142466120 is about 11935.9172249141. The cubic root of 142466120 is about 522.2805653509.

The spelling of 142466120 in words is "one hundred forty-two million, four hundred sixty-six thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 53 59 67 68 85 106 118 134 136 170 212 236 265 268 295 335 340 424 472 530 536 590 670 680 901 1003 1060 1139 1180 1340 1802 2006 2120 2278 2360 2680 3127 3551 3604 3953 4012 4505 4556 5015 5695 6254 7102 7208 7906 8024 9010 9112 10030 11390 12508 14204 15635 15812 17755 18020 19765 20060 22780 25016 28408 31270 31624 35510 36040 39530 40120 45560 53159 60367 62540 67201 71020 79060 106318 120734 125080 134402 142040 158120 209509 212636 241468 265795 268804 301835 336005 419018 425272 482936 531590 537608 603670 672010 838036 1047545 1063180 1207340 1344020 1676072 2095090 2126360 2414680 2688040 3561653 4190180 7123306 8380360 14246612 17808265 28493224 35616530 71233060 142466120