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145560100 = 22527239041
BaseRepresentation
bin10001010110100…
…01001000100100
3101010220012220211
420223101020210
5244230410400
622235505204
73415145320
oct1053211044
9333805824
10145560100
117518a504
12408b8204
132420604a
1415490980
15cba3dba
hex8ad1224

145560100 has 72 divisors (see below), whose sum is σ = 376725888. Its totient is φ = 47731200.

The previous prime is 145560071. The next prime is 145560131. The reversal of 145560100 is 1065541.

145560100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11580 + ... + 20620.

It is an arithmetic number, because the mean of its divisors is an integer number (5232304).

Almost surely, 2145560100 is an apocalyptic number.

145560100 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 145560100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188362944).

145560100 is an abundant number, since it is smaller than the sum of its proper divisors (231165788).

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

145560100 is a wasteful number, since it uses less digits than its factorization.

145560100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9085 (or 9078 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 145560100 is about 12064.8290497628. The cubic root of 145560100 is about 526.0343628608.

The spelling of 145560100 in words is "one hundred forty-five million, five hundred sixty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 23 25 28 35 46 50 70 92 100 115 140 161 175 230 322 350 460 575 644 700 805 1150 1610 2300 3220 4025 8050 9041 16100 18082 36164 45205 63287 90410 126574 180820 207943 226025 253148 316435 415886 452050 632870 831772 904100 1039715 1265740 1455601 1582175 2079430 2911202 3164350 4158860 5198575 5822404 6328700 7278005 10397150 14556010 20794300 29112020 36390025 72780050 145560100