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146030292 = 223217212357
BaseRepresentation
bin10001011010000…
…11111011010100
3101011210002220100
420231003323110
5244340432132
622253534100
73422144202
oct1055037324
9334702810
10146030292
11754807a1
1240aa4330
132433c075
1415574072
15cc4837c
hex8b43ed4

146030292 has 36 divisors (see below), whose sum is σ = 369503316. Its totient is φ = 48627840.

The previous prime is 146030273. The next prime is 146030303. The reversal of 146030292 is 292030641.

146030292 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 65999376 + 80030916 = 8124^2 + 8946^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60778 + ... + 63134.

It is an arithmetic number, because the mean of its divisors is an integer number (10263981).

Almost surely, 2146030292 is an apocalyptic number.

146030292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

146030292 is an abundant number, since it is smaller than the sum of its proper divisors (223473024).

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

146030292 is a wasteful number, since it uses less digits than its factorization.

146030292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4088 (or 4083 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 146030292 is about 12084.2994004617. The cubic root of 146030292 is about 526.6001573511.

It can be divided in two parts, 14 and 6030292, that added together give a palindrome (6030306).

The spelling of 146030292 in words is "one hundred forty-six million, thirty thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 1721 2357 3442 4714 5163 6884 7071 9428 10326 14142 15489 20652 21213 28284 30978 42426 61956 84852 4056397 8112794 12169191 16225588 24338382 36507573 48676764 73015146 146030292