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142429872 = 243133137199
BaseRepresentation
bin10000111110101…
…00111010110000
3100221000012001110
420133110322300
5242430223442
622044433320
73346430304
oct1037247260
9327005043
10142429872
1173441742
123b848840
132367b340
1414cb7d04
15c78669c
hex87d4eb0

142429872 has 160 divisors (see below), whose sum is σ = 422195200. Its totient is φ = 41057280.

The previous prime is 142429867. The next prime is 142429879. The reversal of 142429872 is 278924241.

It is a happy number.

142429872 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 (39).

It is a self number, because there is not a number n which added to its sum of digits gives 142429872.

It is not an unprimeable number, because it can be changed into a prime (142429879) 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, 715629 + ... + 715827.

It is an arithmetic number, because the mean of its divisors is an integer number (2638720).

Almost surely, 2142429872 is an apocalyptic number.

142429872 is a gapful number since it is divisible by the number (12) 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 142429872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211097600).

142429872 is an abundant number, since it is smaller than the sum of its proper divisors (279765328).

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

142429872 is a wasteful number, since it uses less digits than its factorization.

142429872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 285 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 142429872 is about 11934.3986861509. The cubic root of 142429872 is about 522.2362665572.

The spelling of 142429872 in words is "one hundred forty-two million, four hundred twenty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 37 39 48 52 62 74 78 93 104 111 124 148 156 186 199 208 222 248 296 312 372 398 403 444 481 496 592 597 624 744 796 806 888 962 1147 1194 1209 1443 1488 1592 1612 1776 1924 2294 2388 2418 2587 2886 3184 3224 3441 3848 4588 4776 4836 5174 5772 6169 6448 6882 7363 7696 7761 9176 9552 9672 10348 11544 12338 13764 14726 14911 15522 18352 18507 19344 20696 22089 23088 24676 27528 29452 29822 31044 37014 41392 44178 44733 49352 55056 58904 59644 62088 74028 80197 88356 89466 95719 98704 117808 119288 124176 148056 160394 176712 178932 191438 228253 238576 240591 287157 296112 320788 353424 357864 382876 456506 481182 574314 641576 684759 715728 765752 913012 962364 1148628 1283152 1369518 1531504 1826024 1924728 2297256 2739036 2967289 3652048 3849456 4594512 5478072 5934578 8901867 10956144 11869156 17803734 23738312 35607468 47476624 71214936 142429872