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146123068 = 227132291753
BaseRepresentation
bin10001011010110…
…10100100111100
3101011221211011111
420231122210330
5244401414233
622255531404
73423011530
oct1055324474
9334854144
10146123068
1175534473
1240b29b64
1324372370
1415599bc0
15cc65acd
hex8b5a93c

146123068 has 48 divisors (see below), whose sum is σ = 316281280. Its totient is φ = 57521664.

The previous prime is 146123059. The next prime is 146123093. The reversal of 146123068 is 860321641.

It is a happy number.

146123068 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82480 + ... + 84232.

Almost surely, 2146123068 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 146123068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158140640).

146123068 is an abundant number, since it is smaller than the sum of its proper divisors (170158212).

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

146123068 is a wasteful number, since it uses less digits than its factorization.

146123068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2006 (or 2004 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 146123068 is about 12088.1374909454. The cubic root of 146123068 is about 526.7116536551.

The spelling of 146123068 in words is "one hundred forty-six million, one hundred twenty-three thousand, sixty-eight".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 229 364 458 916 1603 1753 2977 3206 3506 5954 6412 7012 11908 12271 20839 22789 24542 41678 45578 49084 83356 91156 159523 319046 401437 638092 802874 1605748 2810059 5218681 5620118 10437362 11240236 20874724 36530767 73061534 146123068