Search a number
-
+
207960 = 23351733
BaseRepresentation
bin110010110001011000
3101120021020
4302301120
523123320
64242440
71524204
oct626130
9346236
10207960
11132275
12a0420
137386c
1455b04
1541940
hex32c58

207960 has 32 divisors (see below), whose sum is σ = 624240. Its totient is φ = 55424.

The previous prime is 207953. The next prime is 207967. The reversal of 207960 is 69702.

It is an interprime number because it is at equal distance from previous prime (207953) and next prime (207967).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 207960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (207967) 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, 747 + ... + 986.

2207960 is an apocalyptic number.

207960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

207960 is an abundant number, since it is smaller than the sum of its proper divisors (416280).

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

207960 is a wasteful number, since it uses less digits than its factorization.

207960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1747 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 207960 is about 456.0263150302. The cubic root of 207960 is about 59.2461230528.

Subtracting from 207960 its sum of digits (24), we obtain a square (207936 = 4562).

The spelling of 207960 in words is "two hundred seven thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1733 3466 5199 6932 8665 10398 13864 17330 20796 25995 34660 41592 51990 69320 103980 207960