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253210104 = 23337179851
BaseRepresentation
bin11110001011110…
…10110111111000
3122122110101222000
433011322313320
51004310210404
641043101000
76163151610
oct1705726770
9578411860
10253210104
1111aa26554
1270971760
13405c7884
14258b3a40
151736a339
hexf17adf8

253210104 has 128 divisors (see below), whose sum is σ = 851212800. Its totient is φ = 68083200.

The previous prime is 253210091. The next prime is 253210117. The reversal of 253210104 is 401012352.

It is an interprime number because it is at equal distance from previous prime (253210091) and next prime (253210117).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 20779 + ... + 30629.

It is an arithmetic number, because the mean of its divisors is an integer number (6650100).

Almost surely, 2253210104 is an apocalyptic number.

253210104 is a gapful number since it is divisible by the number (24) 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 253210104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425606400).

253210104 is an abundant number, since it is smaller than the sum of its proper divisors (598002696).

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

253210104 is a wasteful number, since it uses less digits than its factorization.

253210104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9890 (or 9880 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 253210104 is about 15912.5769126185. The cubic root of 253210104 is about 632.6453843597.

Adding to 253210104 its reverse (401012352), we get a palindrome (654222456).

The spelling of 253210104 in words is "two hundred fifty-three million, two hundred ten thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 27 28 34 36 42 51 54 56 63 68 72 84 102 108 119 126 136 153 168 189 204 216 238 252 306 357 378 408 459 476 504 612 714 756 918 952 1071 1224 1428 1512 1836 2142 2856 3213 3672 4284 6426 8568 9851 12852 19702 25704 29553 39404 59106 68957 78808 88659 118212 137914 167467 177318 206871 236424 265977 275828 334934 354636 413742 502401 531954 551656 620613 669868 709272 827484 1004802 1063908 1172269 1241226 1339736 1507203 1654968 1861839 2009604 2127816 2344538 2482452 3014406 3516807 3723678 4019208 4521609 4689076 4964904 6028812 7033614 7447356 9043218 9378152 10550421 12057624 14067228 14894712 18086436 21100842 28134456 31651263 36172872 42201684 63302526 84403368 126605052 253210104