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20027952 = 2433737179
BaseRepresentation
bin100110001100…
…1101000110000
31101200112012000
41030121220300
520111343302
61553134000
7332143350
oct114315060
941615160
1020027952
111033a32a
12685a300
1341c3079
142934b60
151b5931c
hex1319a30

20027952 has 160 divisors (see below), whose sum is σ = 67852800. Its totient is φ = 5536512.

The previous prime is 20027941. The next prime is 20027971. The reversal of 20027952 is 25972002.

It is a happy number.

It is a super-2 number, since 2×200279522 = 802237722628608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 111799 + ... + 111977.

It is an arithmetic number, because the mean of its divisors is an integer number (424080).

Almost surely, 220027952 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 20027952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33926400).

20027952 is an abundant number, since it is smaller than the sum of its proper divisors (47824848).

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

20027952 is a wasteful number, since it uses less digits than its factorization.

20027952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 20027952 is about 4475.2599924474. The cubic root of 20027952 is about 271.5681584624.

Adding to 20027952 its reverse (25972002), we get a palindrome (45999954).

The spelling of 20027952 in words is "twenty million, twenty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 37 42 48 54 56 63 72 74 84 108 111 112 126 144 148 168 179 189 216 222 252 259 296 333 336 358 378 432 444 504 518 537 592 666 716 756 777 888 999 1008 1036 1074 1253 1332 1432 1512 1554 1611 1776 1998 2072 2148 2331 2506 2664 2864 3024 3108 3222 3759 3996 4144 4296 4662 4833 5012 5328 6216 6444 6623 6993 7518 7992 8592 9324 9666 10024 11277 12432 12888 13246 13986 15036 15984 18648 19332 19869 20048 22554 25776 26492 27972 30072 33831 37296 38664 39738 45108 46361 52984 55944 59607 60144 67662 77328 79476 90216 92722 105968 111888 119214 135324 139083 158952 178821 180432 185444 238428 270648 278166 317904 357642 370888 417249 476856 541296 556332 715284 741776 834498 953712 1112664 1251747 1430568 1668996 2225328 2503494 2861136 3337992 5006988 6675984 10013976 20027952