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252700080 = 24352345779
BaseRepresentation
bin11110000111111…
…10010110110000
3122121111111100020
433003332112300
51004142400310
641024123440
76155625633
oct1703762660
9577444306
10252700080
1111a708346
1270766580
1340479699
14257bdc1a
15172b9170
hexf0fe5b0

252700080 has 80 divisors (see below), whose sum is σ = 817447680. Its totient is φ = 64455424.

The previous prime is 252700079. The next prime is 252700093. The reversal of 252700080 is 80007252.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 252700080.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17370 + ... + 28409.

It is an arithmetic number, because the mean of its divisors is an integer number (10218096).

Almost surely, 2252700080 is an apocalyptic number.

252700080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252700080 is an abundant number, since it is smaller than the sum of its proper divisors (564747600).

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

252700080 is a wasteful number, since it uses less digits than its factorization.

252700080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45818 (or 45812 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 252700080 is about 15896.5430204180. The cubic root of 252700080 is about 632.2203339009.

The spelling of 252700080 in words is "two hundred fifty-two million, seven hundred thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 5520 45779 91558 137337 183116 228895 274674 366232 457790 549348 686685 732464 915580 1052917 1098696 1373370 1831160 2105834 2197392 2746740 3158751 3662320 4211668 5264585 5493480 6317502 8423336 10529170 10986960 12635004 15793755 16846672 21058340 25270008 31587510 42116680 50540016 63175020 84233360 126350040 252700080