Search a number
-
+
142202916 = 2232191271637
BaseRepresentation
bin10000111100111…
…01100000100100
3100220120122201200
420132131200210
5242400443131
622035522500
73344463522
oct1036354044
9326518650
10142202916
11732a7179
123b759430
13235cbc4b
1414c59312
15c73e2e6
hex879d824

142202916 has 72 divisors (see below), whose sum is σ = 381588480. Its totient is φ = 44525376.

The previous prime is 142202911. The next prime is 142202917. The reversal of 142202916 is 619202241.

It is a self number, because there is not a number n which added to its sum of digits gives 142202916.

It is not an unprimeable number, because it can be changed into a prime (142202911) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86050 + ... + 87686.

It is an arithmetic number, because the mean of its divisors is an integer number (5299840).

Almost surely, 2142202916 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 142202916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190794240).

142202916 is an abundant number, since it is smaller than the sum of its proper divisors (239385564).

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

142202916 is a wasteful number, since it uses less digits than its factorization.

142202916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1793 (or 1788 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 142202916 is about 11924.8864145534. The cubic root of 142202916 is about 521.9587319293.

The spelling of 142202916 in words is "one hundred forty-two million, two hundred two thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 127 171 228 254 342 381 508 684 762 1143 1524 1637 2286 2413 3274 4572 4826 4911 6548 7239 9652 9822 14478 14733 19644 21717 28956 29466 31103 43434 58932 62206 86868 93309 124412 186618 207899 279927 373236 415798 559854 623697 831596 1119708 1247394 1871091 2494788 3742182 3950081 7484364 7900162 11850243 15800324 23700486 35550729 47400972 71101458 142202916