Search a number
-
+
23632720 = 2451717377
BaseRepresentation
bin101101000100…
…1101101010000
31122110122222221
41122021231100
522022221340
62202310424
7404606026
oct132115520
948418887
1023632720
1112381681
127ab8414
134b85a77
1431d2716
15211c44a
hex1689b50

23632720 has 40 divisors (see below), whose sum is σ = 58181544. Its totient is φ = 8896512.

The previous prime is 23632699. The next prime is 23632727. The reversal of 23632720 is 2723632.

It can be written as a sum of positive squares in 4 ways, for example, as 937024 + 22695696 = 968^2 + 4764^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23632727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7329 + ... + 10048.

Almost surely, 223632720 is an apocalyptic number.

23632720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23632720 is an abundant number, since it is smaller than the sum of its proper divisors (34548824).

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

23632720 is a wasteful number, since it uses less digits than its factorization.

23632720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17407 (or 17401 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 25.

The square root of 23632720 is about 4861.3496068479. The cubic root of 23632720 is about 286.9709286761.

The spelling of 23632720 in words is "twenty-three million, six hundred thirty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 17377 34754 69508 86885 139016 173770 278032 295409 347540 590818 695080 1181636 1390160 1477045 2363272 2954090 4726544 5908180 11816360 23632720