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146696148 = 223211336061
BaseRepresentation
bin10001011111001…
…10011111010100
3101020000221021200
420233212133110
5300023234043
622320112500
73430616364
oct1057463724
9336027250
10146696148
1175895a95
1241165730
1324513171
14156a89a4
15cd2a7d3
hex8be67d4

146696148 has 36 divisors (see below), whose sum is σ = 374107188. Its totient is φ = 48464640.

The previous prime is 146696117. The next prime is 146696149. The reversal of 146696148 is 841696641.

It can be written as a sum of positive squares in 2 ways, for example, as 15776784 + 130919364 = 3972^2 + 11442^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146696149) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13963 + ... + 22098.

Almost surely, 2146696148 is an apocalyptic number.

146696148 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

146696148 is an abundant number, since it is smaller than the sum of its proper divisors (227411040).

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

146696148 is a wasteful number, since it uses less digits than its factorization.

146696148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36184 (or 36179 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 146696148 is about 12111.8185257211. The cubic root of 146696148 is about 527.3993255160.

The spelling of 146696148 in words is "one hundred forty-six million, six hundred ninety-six thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 113 226 339 452 678 1017 1356 2034 4068 36061 72122 108183 144244 216366 324549 432732 649098 1298196 4074893 8149786 12224679 16299572 24449358 36674037 48898716 73348074 146696148