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142152120 = 233251135897
BaseRepresentation
bin10000111100100…
…01000110111000
3100220111002001100
420132101012320
5242342331440
622034451400
73344162445
oct1036210670
9326432040
10142152120
1173271aa0
123b733b60
13235b1aa6
1414c449cc
15c72e230
hex87911b8

142152120 has 96 divisors (see below), whose sum is σ = 504007920. Its totient is φ = 34460160.

The previous prime is 142152119. The next prime is 142152139. The reversal of 142152120 is 21251241.

142152120 is a `hidden beast` number, since 142 + 1 + 521 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 142152093 and 142152102.

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, 13989 + ... + 21908.

Almost surely, 2142152120 is an apocalyptic number.

142152120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142152120 is an abundant number, since it is smaller than the sum of its proper divisors (361855800).

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

142152120 is a wasteful number, since it uses less digits than its factorization.

142152120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35925 (or 35918 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 142152120 is about 11922.7563927139. The cubic root of 142152120 is about 521.8965752731.

The spelling of 142152120 in words is "one hundred forty-two million, one hundred fifty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 132 165 180 198 220 264 330 360 396 440 495 660 792 990 1320 1980 3960 35897 71794 107691 143588 179485 215382 287176 323073 358970 394867 430764 538455 646146 717940 789734 861528 1076910 1184601 1292292 1435880 1579468 1615365 1974335 2153820 2369202 2584584 3158936 3230730 3553803 3948670 4307640 4738404 5923005 6461460 7107606 7897340 9476808 11846010 12922920 14215212 15794680 17769015 23692020 28430424 35538030 47384040 71076060 142152120