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55724020 = 225112411051
BaseRepresentation
bin1101010010010…
…0011111110100
310212212001222121
43110210133310
5103231132040
65310205324
71244434462
oct324443764
9125761877
1055724020
1129500310
12167b3844
13b7108c1
147587832
154d5ac4a
hex35247f4

55724020 has 48 divisors (see below), whose sum is σ = 128310336. Its totient is φ = 20160000.

The previous prime is 55723973. The next prime is 55724027. The reversal of 55724020 is 2042755.

It is a Smith number, since the sum of its digits (25) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55724027) 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, 52495 + ... + 53545.

It is an arithmetic number, because the mean of its divisors is an integer number (2673132).

Almost surely, 255724020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55724020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64155168).

55724020 is an abundant number, since it is smaller than the sum of its proper divisors (72586316).

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

55724020 is a wasteful number, since it uses less digits than its factorization.

55724020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1312 (or 1310 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 25.

The square root of 55724020 is about 7464.8523093227. The cubic root of 55724020 is about 381.9567122901.

Adding to 55724020 its reverse (2042755), we get a palindrome (57766775).

The spelling of 55724020 in words is "fifty-five million, seven hundred twenty-four thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 241 482 964 1051 1205 2102 2410 2651 4204 4820 5255 5302 10510 10604 11561 13255 21020 23122 26510 46244 53020 57805 115610 231220 253291 506582 1013164 1266455 2532910 2786201 5065820 5572402 11144804 13931005 27862010 55724020