Search a number
-
+
145120060 = 225291511657
BaseRepresentation
bin10001010011001…
…01101100111100
3101010001212022001
420221211230330
5244122320220
622222232044
73411333361
oct1051455474
9333055261
10145120060
1174a09938
1240725624
13240b0977
14153b8468
15cb1880a
hex8a65b3c

145120060 has 48 divisors (see below), whose sum is σ = 317540160. Its totient is φ = 55641600.

The previous prime is 145120049. The next prime is 145120091. The reversal of 145120060 is 60021541.

145120060 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, 86752 + ... + 88408.

It is an arithmetic number, because the mean of its divisors is an integer number (6615420).

Almost surely, 2145120060 is an apocalyptic number.

145120060 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 145120060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158770080).

145120060 is an abundant number, since it is smaller than the sum of its proper divisors (172420100).

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

145120060 is a wasteful number, since it uses less digits than its factorization.

145120060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1846 (or 1844 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 145120060 is about 12046.5787674343. The cubic root of 145120060 is about 525.5037462732.

The spelling of 145120060 in words is "one hundred forty-five million, one hundred twenty thousand, sixty".

Divisors: 1 2 4 5 10 20 29 58 116 145 151 290 302 580 604 755 1510 1657 3020 3314 4379 6628 8285 8758 16570 17516 21895 33140 43790 48053 87580 96106 192212 240265 250207 480530 500414 961060 1000828 1251035 2502070 5004140 7256003 14512006 29024012 36280015 72560030 145120060