Search a number
-
+
20075832 = 2332761653
BaseRepresentation
bin100110010010…
…1010100111000
31101202221212100
41030211110320
520114411312
61554143400
7332433060
oct114452470
941687770
1020075832
11103722a7
126881b60
13420baba
1429483a0
151b685dc
hex1325538

20075832 has 96 divisors (see below), whose sum is σ = 63254880. Its totient is φ = 5633280.

The previous prime is 20075831. The next prime is 20075857. The reversal of 20075832 is 23857002.

It is a junction number, because it is equal to n+sod(n) for n = 20075796 and 20075805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20075831) 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 23 ways as a sum of consecutive naturals, for example, 30418 + ... + 31070.

It is an arithmetic number, because the mean of its divisors is an integer number (658905).

Almost surely, 220075832 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 20075832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31627440).

20075832 is an abundant number, since it is smaller than the sum of its proper divisors (43179048).

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

20075832 is a wasteful number, since it uses less digits than its factorization.

20075832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 20075832 is about 4480.6062089856. The cubic root of 20075832 is about 271.7843951751.

The spelling of 20075832 in words is "twenty million, seventy-five thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 61 63 72 84 122 126 168 183 244 252 366 427 488 504 549 653 732 854 1098 1281 1306 1464 1708 1959 2196 2562 2612 3416 3843 3918 4392 4571 5124 5224 5877 7686 7836 9142 10248 11754 13713 15372 15672 18284 23508 27426 30744 36568 39833 41139 47016 54852 79666 82278 109704 119499 159332 164556 238998 278831 318664 329112 358497 477996 557662 716994 836493 955992 1115324 1433988 1672986 2230648 2509479 2867976 3345972 5018958 6691944 10037916 20075832