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245130060 = 223574091427
BaseRepresentation
bin11101001110001…
…10001101001100
3122002020220020010
432213012031030
51000223130220
640153553220
76034366620
oct1647061514
9562226203
10245130060
1111640792a
126a115810
133ba28b96
14247ad180
15167c11e0
hexe9c634c

245130060 has 96 divisors (see below), whose sum is σ = 786885120. Its totient is φ = 55853568.

The previous prime is 245130049. The next prime is 245130071. The reversal of 245130060 is 60031542.

It is a happy number.

245130060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (245130049) and next prime (245130071).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 171067 + ... + 172493.

It is an arithmetic number, because the mean of its divisors is an integer number (8196720).

Almost surely, 2245130060 is an apocalyptic number.

245130060 is a gapful number since it is divisible by the number (20) 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 245130060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393442560).

245130060 is an abundant number, since it is smaller than the sum of its proper divisors (541755060).

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

245130060 is a wasteful number, since it uses less digits than its factorization.

245130060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1855 (or 1853 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 245130060 is about 15656.6299055704. The cubic root of 245130060 is about 625.8431798316.

It can be divided in two parts, 245 and 130060, that added together give a triangular number (130305 = T510).

The spelling of 245130060 in words is "two hundred forty-five million, one hundred thirty thousand, sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 409 420 818 1227 1427 1636 2045 2454 2854 2863 4090 4281 4908 5708 5726 6135 7135 8180 8562 8589 9989 11452 12270 14270 14315 17124 17178 19978 21405 24540 28540 28630 29967 34356 39956 42810 42945 49945 57260 59934 85620 85890 99890 119868 149835 171780 199780 299670 583643 599340 1167286 1750929 2334572 2918215 3501858 4085501 5836430 7003716 8171002 8754645 11672860 12256503 16342004 17509290 20427505 24513006 35018580 40855010 49026012 61282515 81710020 122565030 245130060