Search a number
-
+
5672832 = 273111779
BaseRepresentation
bin10101101000111110000000
3101200012122220
4111220332000
52423012312
6321331040
766134604
oct25507600
911605586
105672832
1132250a0
121a96a80
131238109
14a79504
15770c8c
hex568f80

5672832 has 128 divisors (see below), whose sum is σ = 17625600. Its totient is φ = 1597440.

The previous prime is 5672831. The next prime is 5672833. The reversal of 5672832 is 2382765.

It is an interprime number because it is at equal distance from previous prime (5672831) and next prime (5672833).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (33).

Its product of digits (20160) is a multiple of the sum of its prime divisors (112).

It is a junction number, because it is equal to n+sod(n) for n = 5672793 and 5672802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5672831) 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, 71769 + ... + 71847.

It is an arithmetic number, because the mean of its divisors is an integer number (137700).

Almost surely, 25672832 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 5672832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8812800).

5672832 is an abundant number, since it is smaller than the sum of its proper divisors (11952768).

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

5672832 is a wasteful number, since it uses less digits than its factorization.

5672832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 112 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 5672832 is about 2381.7707698265. The cubic root of 5672832 is about 178.3473418019.

The spelling of 5672832 in words is "five million, six hundred seventy-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 64 66 68 79 88 96 102 128 132 136 158 176 187 192 204 237 264 272 316 352 374 384 408 474 528 544 561 632 704 748 816 869 948 1056 1088 1122 1264 1343 1408 1496 1632 1738 1896 2112 2176 2244 2528 2607 2686 2992 3264 3476 3792 4029 4224 4488 5056 5214 5372 5984 6528 6952 7584 8058 8976 10112 10428 10744 11968 13904 14773 15168 16116 17952 20856 21488 23936 27808 29546 30336 32232 35904 41712 42976 44319 55616 59092 64464 71808 83424 85952 88638 111232 118184 128928 166848 171904 177276 236368 257856 333696 354552 472736 515712 709104 945472 1418208 1890944 2836416 5672832