Search a number
-
+
245616560 = 2457438601
BaseRepresentation
bin11101010001111…
…00111110110000
3122010011121120122
432220330332300
51000334212220
640212225412
76041464160
oct1650747660
9563147518
10245616560
1111670a3a2
126a30b268
133bb69457
14248985a0
151686a425
hexea3cfb0

245616560 has 40 divisors (see below), whose sum is σ = 652639776. Its totient is φ = 84211200.

The previous prime is 245616557. The next prime is 245616571. The reversal of 245616560 is 65616542.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 245616560.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 218741 + ... + 219860.

Almost surely, 2245616560 is an apocalyptic number.

245616560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245616560 is an abundant number, since it is smaller than the sum of its proper divisors (407023216).

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

245616560 is a wasteful number, since it uses less digits than its factorization.

245616560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438621 (or 438615 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The square root of 245616560 is about 15672.1587536625. The cubic root of 245616560 is about 626.2569350217.

The spelling of 245616560 in words is "two hundred forty-five million, six hundred sixteen thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 438601 877202 1754404 2193005 3070207 3508808 4386010 6140414 7017616 8772020 12280828 15351035 17544040 24561656 30702070 35088080 49123312 61404140 122808280 245616560