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146125260 = 223251316197
BaseRepresentation
bin10001011010110…
…11000111001100
3101011221221011200
420231123013030
5244402002020
622255545500
73423021111
oct1055330714
9334857150
10146125260
1175536086
1240b2b290
1324373368
141559a908
15cc66590
hex8b5b1cc

146125260 has 72 divisors (see below), whose sum is σ = 446702256. Its totient is φ = 38663040.

The previous prime is 146125249. The next prime is 146125261. The reversal of 146125260 is 62521641.

146125260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1461252602 = 42705183220135200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (146125261) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20482 + ... + 26678.

It is an arithmetic number, because the mean of its divisors is an integer number (6204198).

Almost surely, 2146125260 is an apocalyptic number.

146125260 is a gapful number since it is divisible by the number (10) 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 146125260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223351128).

146125260 is an abundant number, since it is smaller than the sum of its proper divisors (300576996).

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

146125260 is a wasteful number, since it uses less digits than its factorization.

146125260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6343 (or 6338 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 146125260 is about 12088.2281580056. The cubic root of 146125260 is about 526.7142873852.

The spelling of 146125260 in words is "one hundred forty-six million, one hundred twenty-five thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 131 180 262 393 524 655 786 1179 1310 1572 1965 2358 2620 3930 4716 5895 6197 7860 11790 12394 18591 23580 24788 30985 37182 55773 61970 74364 92955 111546 123940 185910 223092 278865 371820 557730 811807 1115460 1623614 2435421 3247228 4059035 4870842 7306263 8118070 9741684 12177105 14612526 16236140 24354210 29225052 36531315 48708420 73062630 146125260