Search a number
-
+
146934630 = 23259716831
BaseRepresentation
bin10001100001000…
…00101101100110
3101020111001102100
420300200231212
5300103402010
622325152530
73432631563
oct1060405546
9336431370
10146934630
1175a39187
124125b746
132459788b
141572b86a
15cd762c0
hex8c20b66

146934630 has 48 divisors (see below), whose sum is σ = 385991424. Its totient is φ = 38776320.

The previous prime is 146934629. The next prime is 146934661. The reversal of 146934630 is 36439641.

146934630 is a `hidden beast` number, since 14 + 6 + 9 + 3 + 4 + 630 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 315 + ... + 17145.

It is an arithmetic number, because the mean of its divisors is an integer number (8041488).

Almost surely, 2146934630 is an apocalyptic number.

146934630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 146934630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192995712).

146934630 is an abundant number, since it is smaller than the sum of its proper divisors (239056794).

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

146934630 is a wasteful number, since it uses less digits than its factorization.

146934630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16941 (or 16938 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 146934630 is about 12121.6595398485. The cubic root of 146934630 is about 527.6849661687.

The spelling of 146934630 in words is "one hundred forty-six million, nine hundred thirty-four thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 97 194 291 485 582 873 970 1455 1746 2910 4365 8730 16831 33662 50493 84155 100986 151479 168310 252465 302958 504930 757395 1514790 1632607 3265214 4897821 8163035 9795642 14693463 16326070 24489105 29386926 48978210 73467315 146934630