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142152010 = 257112131291
BaseRepresentation
bin10000111100100…
…01000101001010
3100220111001220021
420132101011022
5242342331020
622034451054
73344162230
oct1036210512
9326431807
10142152010
1173271a00
123b733a8a
13235b1a20
1414c44950
15c72e1aa
hex879114a

142152010 has 96 divisors (see below), whose sum is σ = 346421376. Its totient is φ = 40867200.

The previous prime is 142152007. The next prime is 142152061. The reversal of 142152010 is 10251241.

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 47 ways as a sum of consecutive naturals, for example, 109465 + ... + 110755.

It is an arithmetic number, because the mean of its divisors is an integer number (3608556).

Almost surely, 2142152010 is an apocalyptic number.

142152010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

142152010 is an abundant number, since it is smaller than the sum of its proper divisors (204269366).

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

142152010 is a wasteful number, since it uses less digits than its factorization.

142152010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 142152010 is about 11922.7517796858. The cubic root of 142152010 is about 521.8964406552.

The spelling of 142152010 in words is "one hundred forty-two million, one hundred fifty-two thousand, ten".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 121 130 143 154 182 242 286 385 455 605 715 770 847 910 1001 1210 1291 1430 1573 1694 2002 2582 3146 4235 5005 6455 7865 8470 9037 10010 11011 12910 14201 15730 16783 18074 22022 28402 33566 45185 55055 71005 83915 90370 99407 110110 117481 142010 156211 167830 184613 198814 234962 312422 369226 497035 587405 781055 923065 994070 1093477 1174810 1292291 1562110 1846130 2030743 2186954 2584582 4061486 5467385 6461455 10153715 10934770 12922910 14215201 20307430 28430402 71076005 142152010