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245680 = 2453783
BaseRepresentation
bin111011111110110000
3110111000021
4323332300
530330210
65133224
72042161
oct737660
9414007
10245680
11158646
12ba214
1387a96
1465768
154cbda
hex3bfb0

245680 has 40 divisors (see below), whose sum is σ = 593712. Its totient is φ = 94464.

The previous prime is 245671. The next prime is 245681. The reversal of 245680 is 86542.

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

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (245681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2919 + ... + 3001.

2245680 is an apocalyptic number.

245680 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 245680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296856).

245680 is an abundant number, since it is smaller than the sum of its proper divisors (348032).

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

245680 is a wasteful number, since it uses less digits than its factorization.

245680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

The square root of 245680 is about 495.6611745941. The cubic root of 245680 is about 62.6310848759.

The spelling of 245680 in words is "two hundred forty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 83 148 166 185 296 332 370 415 592 664 740 830 1328 1480 1660 2960 3071 3320 6142 6640 12284 15355 24568 30710 49136 61420 122840 245680