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146316252 = 22329537933
BaseRepresentation
bin10001011100010…
…01101111011100
3101012022122011110
420232021233130
5244424110002
622304022020
73424444665
oct1056115734
9335278143
10146316252
1175656625
1241001910
132440c284
141560a36c
15cca2e6c
hex8b89bdc

146316252 has 48 divisors (see below), whose sum is σ = 359886240. Its totient is φ = 46195968.

The previous prime is 146316251. The next prime is 146316253. The reversal of 146316252 is 252613641.

It is an interprime number because it is at equal distance from previous prime (146316251) and next prime (146316253).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146316251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14478 + ... + 22410.

It is an arithmetic number, because the mean of its divisors is an integer number (7497630).

Almost surely, 2146316252 is an apocalyptic number.

146316252 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 146316252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179943120).

146316252 is an abundant number, since it is smaller than the sum of its proper divisors (213569988).

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

146316252 is a wasteful number, since it uses less digits than its factorization.

146316252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8022 (or 8020 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 146316252 is about 12096.1254953807. The cubic root of 146316252 is about 526.9436668875.

Adding to 146316252 its reverse (252613641), we get a palindrome (398929893).

The spelling of 146316252 in words is "one hundred forty-six million, three hundred sixteen thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 29 53 58 87 106 116 159 174 212 318 348 636 1537 3074 4611 6148 7933 9222 15866 18444 23799 31732 47598 95196 230057 420449 460114 690171 840898 920228 1261347 1380342 1681796 2522694 2760684 5045388 12193021 24386042 36579063 48772084 73158126 146316252