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145860 = 2235111317
BaseRepresentation
bin100011100111000100
321102002020
4203213010
514131420
63043140
71145151
oct434704
9242066
10145860
119a650
12704b0
1351510
143b228
152d340
hex239c4

145860 has 96 divisors (see below), whose sum is σ = 508032. Its totient is φ = 30720.

The previous prime is 145829. The next prime is 145861. The reversal of 145860 is 68541.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 145860.

It is not an unprimeable number, because it can be changed into a prime (145861) by changing a digit.

145860 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8572 + ... + 8588.

It is an arithmetic number, because the mean of its divisors is an integer number (5292).

2145860 is an apocalyptic number.

145860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

145860 is the 312-nd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254016).

145860 is an abundant number, since it is smaller than the sum of its proper divisors (362172).

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

145860 is a wasteful number, since it uses less digits than its factorization.

145860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 145860 is about 381.9162211795. The cubic root of 145860 is about 52.6395380946.

The spelling of 145860 in words is "one hundred forty-five thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 17 20 22 26 30 33 34 39 44 51 52 55 60 65 66 68 78 85 102 110 130 132 143 156 165 170 187 195 204 220 221 255 260 286 330 340 374 390 429 442 510 561 572 660 663 715 748 780 858 884 935 1020 1105 1122 1326 1430 1716 1870 2145 2210 2244 2431 2652 2805 2860 3315 3740 4290 4420 4862 5610 6630 7293 8580 9724 11220 12155 13260 14586 24310 29172 36465 48620 72930 145860