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142293996 = 22351311261
BaseRepresentation
bin10000111101100…
…11101111101100
3100220202021200000
420132303233230
5242411401441
622041504300
73345323205
oct1036635754
9326667600
10142293996
1173359649
123b7a2090
1323631540
1414c805ac
15c75b2b6
hex87b3bec

142293996 has 72 divisors (see below), whose sum is σ = 401738064. Its totient is φ = 43778880.

The previous prime is 142293953. The next prime is 142294027. The reversal of 142293996 is 699392241.

It is a happy number.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7006 + ... + 18266.

Almost surely, 2142293996 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142293996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200869032).

142293996 is an abundant number, since it is smaller than the sum of its proper divisors (259444068).

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

142293996 is a wasteful number, since it uses less digits than its factorization.

142293996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11293 (or 11279 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 142293996 is about 11928.7047075531. The cubic root of 142293996 is about 522.0701451515.

It can be divided in two parts, 14229 and 3996, that added together give a square (18225 = 1352).

The spelling of 142293996 in words is "one hundred forty-two million, two hundred ninety-three thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 468 486 702 972 1053 1404 2106 3159 4212 6318 11261 12636 22522 33783 45044 67566 101349 135132 146393 202698 292786 304047 405396 439179 585572 608094 878358 912141 1216188 1317537 1756716 1824282 2635074 2736423 3648564 3952611 5270148 5472846 7905222 10945692 11857833 15810444 23715666 35573499 47431332 71146998 142293996