Search a number
-
+
268489780 = 225136591567
BaseRepresentation
bin10000000000001…
…101010000110100
3200201012200201221
4100000031100310
51022213133110
642350400124
76440061016
oct2000152064
9621180657
10268489780
11128612389
1275b00044
13438175c0
14279301b6
15188877da
hex1000d434

268489780 has 48 divisors (see below), whose sum is σ = 608509440. Its totient is φ = 98921088.

The previous prime is 268489777. The next prime is 268489783. The reversal of 268489780 is 87984862.

It is an interprime number because it is at equal distance from previous prime (268489777) and next prime (268489783).

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268489783) 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, 170557 + ... + 172123.

It is an arithmetic number, because the mean of its divisors is an integer number (12677280).

Almost surely, 2268489780 is an apocalyptic number.

268489780 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

268489780 is an abundant number, since it is smaller than the sum of its proper divisors (340019660).

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

268489780 is a wasteful number, since it uses less digits than its factorization.

268489780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2248 (or 2246 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 52.

The square root of 268489780 is about 16385.6577530473. The cubic root of 268489780 is about 645.1230901033.

The spelling of 268489780 in words is "two hundred sixty-eight million, four hundred eighty-nine thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 659 1318 1567 2636 3134 3295 6268 6590 7835 8567 13180 15670 17134 20371 31340 34268 40742 42835 81484 85670 101855 171340 203710 407420 1032653 2065306 4130612 5163265 10326530 13424489 20653060 26848978 53697956 67122445 134244890 268489780