Search a number
-
+
24742320 = 2435103093
BaseRepresentation
bin101111001100…
…0100110110000
31201120001002020
41132120212300
522313223240
62242151440
7420210021
oct136304660
951501066
1024742320
1112a6a2a9
128352580
135183b35
143400c48
15228b0d0
hex17989b0

24742320 has 40 divisors (see below), whose sum is σ = 76701936. Its totient is φ = 6597888.

The previous prime is 24742283. The next prime is 24742343. The reversal of 24742320 is 2324742.

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

It is a super-2 number, since 2×247423202 = 1224364797964800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51307 + ... + 51786.

Almost surely, 224742320 is an apocalyptic number.

24742320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

24742320 is an abundant number, since it is smaller than the sum of its proper divisors (51959616).

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

24742320 is a wasteful number, since it uses less digits than its factorization.

24742320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103109 (or 103103 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 24742320 is about 4974.1652566034. The cubic root of 24742320 is about 291.3936878112.

The spelling of 24742320 in words is "twenty-four million, seven hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 103093 206186 309279 412372 515465 618558 824744 1030930 1237116 1546395 1649488 2061860 2474232 3092790 4123720 4948464 6185580 8247440 12371160 24742320