Search a number
-
+
245246160 = 24351139043
BaseRepresentation
bin11101001111000…
…10100011010000
3122002110210111010
432213202203100
51000240334120
640200250520
76035362245
oct1647424320
9562423433
10245246160
11116487085
126a170a40
133ba69993
14247dd5cc
15167e57e0
hexe9e28d0

245246160 has 80 divisors (see below), whose sum is σ = 767075904. Its totient is φ = 64813056.

The previous prime is 245246149. The next prime is 245246161. The reversal of 245246160 is 61642542.

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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (245246161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22599 + ... + 31641.

Almost surely, 2245246160 is an apocalyptic number.

245246160 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 245246160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383537952).

245246160 is an abundant number, since it is smaller than the sum of its proper divisors (521829744).

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

245246160 is a wasteful number, since it uses less digits than its factorization.

245246160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9172 (or 9166 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 245246160 is about 15660.3371611214. The cubic root of 245246160 is about 625.9419694631.

The spelling of 245246160 in words is "two hundred forty-five million, two hundred forty-six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 113 120 226 240 339 452 565 678 904 1130 1356 1695 1808 2260 2712 3390 4520 5424 6780 9040 9043 13560 18086 27120 27129 36172 45215 54258 72344 90430 108516 135645 144688 180860 217032 271290 361720 434064 542580 723440 1021859 1085160 2043718 2170320 3065577 4087436 5109295 6131154 8174872 10218590 12262308 15327885 16349744 20437180 24524616 30655770 40874360 49049232 61311540 81748720 122623080 245246160