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20494152 = 23327237157
BaseRepresentation
bin100111000101…
…1011101001000
31102120012200200
41032023131020
520221303102
62011132200
7336124500
oct116133510
942505620
1020494152
1110628618
126a44060
134327323
142a16a00
151bec51c
hex138b748

20494152 has 144 divisors (see below), whose sum is σ = 66734460. Its totient is φ = 5660928.

The previous prime is 20494151. The next prime is 20494157. The reversal of 20494152 is 25149402.

20494152 is a `hidden beast` number, since 20 + 494 + 152 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20196036 + 298116 = 4494^2 + 546^2 .

It is not an unprimeable number, because it can be changed into a prime (20494151) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 130458 + ... + 130614.

Almost surely, 220494152 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 20494152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33367230).

20494152 is an abundant number, since it is smaller than the sum of its proper divisors (46240308).

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

20494152 is a wasteful number, since it uses less digits than its factorization.

20494152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 20494152 is about 4527.0467194408. The cubic root of 20494152 is about 273.6591566965.

The spelling of 20494152 in words is "twenty million, four hundred ninety-four thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 37 42 49 56 63 72 74 84 98 111 126 147 148 157 168 196 222 252 259 294 296 314 333 392 441 444 471 504 518 588 628 666 777 882 888 942 1036 1099 1176 1256 1332 1413 1554 1764 1813 1884 2072 2198 2331 2664 2826 3108 3297 3528 3626 3768 4396 4662 5439 5652 5809 6216 6594 7252 7693 8792 9324 9891 10878 11304 11618 13188 14504 15386 16317 17427 18648 19782 21756 23079 23236 26376 30772 32634 34854 39564 40663 43512 46158 46472 52281 61544 65268 69237 69708 79128 81326 92316 104562 121989 130536 138474 139416 162652 184632 209124 243978 276948 284641 325304 365967 418248 487956 553896 569282 731934 853923 975912 1138564 1463868 1707846 2277128 2561769 2927736 3415692 5123538 6831384 10247076 20494152