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142217370 = 2345337521
BaseRepresentation
bin10000111101000…
…01000010011010
3100220121101120000
420132201002122
5242401423440
622040113430
73344553621
oct1036410232
9326541500
10142217370
1173307019
123b765876
13236056b9
1414c606b8
15c743730
hex87a109a

142217370 has 80 divisors (see below), whose sum is σ = 384277608. Its totient is φ = 37739520.

The previous prime is 142217357. The next prime is 142217401. The reversal of 142217370 is 73712241.

It is a happy number.

142217370 is a `hidden beast` number, since 1 + 422 + 173 + 70 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 84107241 + 58110129 = 9171^2 + 7623^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 39 ways as a sum of consecutive naturals, for example, 272710 + ... + 273230.

Almost surely, 2142217370 is an apocalyptic number.

142217370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 142217370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192138804).

142217370 is an abundant number, since it is smaller than the sum of its proper divisors (242060238).

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

142217370 is a wasteful number, since it uses less digits than its factorization.

142217370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 877 (or 868 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 142217370 is about 11925.4924426625. The cubic root of 142217370 is about 521.9764158984.

The spelling of 142217370 in words is "one hundred forty-two million, two hundred seventeen thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 337 405 521 674 810 1011 1042 1563 1685 2022 2605 3033 3126 3370 4689 5055 5210 6066 7815 9099 9378 10110 14067 15165 15630 18198 23445 27297 28134 30330 42201 45495 46890 54594 70335 84402 90990 136485 140670 175577 211005 272970 351154 422010 526731 877885 1053462 1580193 1755770 2633655 3160386 4740579 5267310 7900965 9481158 14221737 15801930 23702895 28443474 47405790 71108685 142217370