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253663020 = 2232513432521
BaseRepresentation
bin11110001111010…
…01011100101100
3122200022102020200
433013221130230
51004414204040
641100513500
76200046222
oct1707513454
9580272220
10253663020
11120205866
1270b4b890
1340725a80
1425990b12
1517409630
hexf1e972c

253663020 has 144 divisors (see below), whose sum is σ = 848239392. Its totient is φ = 60963840.

The previous prime is 253663013. The next prime is 253663037. The reversal of 253663020 is 20366352.

253663020 is a `hidden beast` number, since 2 + 5 + 3 + 6 + 630 + 20 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99360 + ... + 101880.

Almost surely, 2253663020 is an apocalyptic number.

253663020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253663020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424119696).

253663020 is an abundant number, since it is smaller than the sum of its proper divisors (594576372).

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

253663020 is a wasteful number, since it uses less digits than its factorization.

253663020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2592 (or 2587 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 253663020 is about 15926.8019388702. The cubic root of 253663020 is about 633.0223631880.

It can be divided in two parts, 2536 and 63020, that added together give a palindrome (65556).

The spelling of 253663020 in words is "two hundred fifty-three million, six hundred sixty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 43 45 52 60 65 78 86 90 117 129 130 156 172 180 195 215 234 258 260 387 390 430 468 516 559 585 645 774 780 860 1118 1170 1290 1548 1677 1935 2236 2340 2521 2580 2795 3354 3870 5031 5042 5590 6708 7563 7740 8385 10062 10084 11180 12605 15126 16770 20124 22689 25155 25210 30252 32773 33540 37815 45378 50310 50420 65546 75630 90756 98319 100620 108403 113445 131092 151260 163865 196638 216806 226890 294957 325209 327730 393276 433612 453780 491595 542015 589914 650418 655460 975627 983190 1084030 1179828 1300836 1409239 1474785 1626045 1951254 1966380 2168060 2818478 2949570 3252090 3902508 4227717 4878135 5636956 5899140 6504180 7046195 8455434 9756270 12683151 14092390 16910868 19512540 21138585 25366302 28184780 42277170 50732604 63415755 84554340 126831510 253663020