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245501360 = 24513594001
BaseRepresentation
bin11101010001000…
…00110110110000
3122002221202112222
432220200312300
51000322020420
640205540212
76040504256
oct1650406660
9562852488
10245501360
11116640895
126a274668
133bb28ba0
14248685d6
1516846225
hexea20db0

245501360 has 80 divisors (see below), whose sum is σ = 625272480. Its totient is φ = 89088000.

The previous prime is 245501329. The next prime is 245501363. The reversal of 245501360 is 63105542.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (245501363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59360 + ... + 63360.

It is an arithmetic number, because the mean of its divisors is an integer number (7815906).

Almost surely, 2245501360 is an apocalyptic number.

245501360 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 245501360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312636240).

245501360 is an abundant number, since it is smaller than the sum of its proper divisors (379771120).

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

245501360 is a wasteful number, since it uses less digits than its factorization.

245501360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4086 (or 4080 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 245501360 is about 15668.4830152762. The cubic root of 245501360 is about 626.1590099184.

The spelling of 245501360 in words is "two hundred forty-five million, five hundred one thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 59 65 80 104 118 130 208 236 260 295 472 520 590 767 944 1040 1180 1534 2360 3068 3835 4001 4720 6136 7670 8002 12272 15340 16004 20005 30680 32008 40010 52013 61360 64016 80020 104026 160040 208052 236059 260065 320080 416104 472118 520130 832208 944236 1040260 1180295 1888472 2080520 2360590 3068767 3776944 4161040 4721180 6137534 9442360 12275068 15343835 18884720 24550136 30687670 49100272 61375340 122750680 245501360