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142570120 = 235711411129
BaseRepresentation
bin10000111111101…
…11001010001000
3100221021022102211
420133313022020
5242444220440
622051434504
73350553220
oct1037671210
9327238384
10142570120
1173528050
123b8b5a34
13236ca124
1414d13080
15c7b2eea
hex87f7288

142570120 has 128 divisors (see below), whose sum is σ = 410054400. Its totient is φ = 43315200.

The previous prime is 142570111. The next prime is 142570121. The reversal of 142570120 is 21075241.

It is a happy number.

142570120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 142570091 and 142570100.

It is not an unprimeable number, because it can be changed into a prime (142570121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125716 + ... + 126844.

It is an arithmetic number, because the mean of its divisors is an integer number (3203550).

Almost surely, 2142570120 is an apocalyptic number.

142570120 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 142570120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205027200).

142570120 is an abundant number, since it is smaller than the sum of its proper divisors (267484280).

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

142570120 is a wasteful number, since it uses less digits than its factorization.

142570120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 142570120 is about 11940.2730287042. The cubic root of 142570120 is about 522.4076223827.

The spelling of 142570120 in words is "one hundred forty-two million, five hundred seventy thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 41 44 55 56 70 77 82 88 110 140 154 164 205 220 280 287 308 328 385 410 440 451 574 616 770 820 902 1129 1148 1435 1540 1640 1804 2255 2258 2296 2870 3080 3157 3608 4510 4516 5645 5740 6314 7903 9020 9032 11290 11480 12419 12628 15785 15806 18040 22580 24838 25256 31570 31612 39515 45160 46289 49676 62095 63140 63224 79030 86933 92578 99352 124190 126280 158060 173866 185156 231445 248380 316120 324023 347732 370312 434665 462890 496760 509179 648046 695464 869330 925780 1018358 1296092 1620115 1738660 1851560 2036716 2545895 2592184 3240230 3477320 3564253 4073432 5091790 6480460 7128506 10183580 12960920 14257012 17821265 20367160 28514024 35642530 71285060 142570120