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253148112 = 24337211959
BaseRepresentation
bin11110001011010…
…11101111010000
3122122100020221000
433011223233100
51004301214422
641041502000
76162503100
oct1705535720
9578306830
10253148112
1111a993a18
1270941900
13405a55a9
1425899200
1517356cac
hexf16bbd0

253148112 has 120 divisors (see below), whose sum is σ = 845332800. Its totient is φ = 72321984.

The previous prime is 253148069. The next prime is 253148113. The reversal of 253148112 is 211841352.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253148113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15189 + ... + 27147.

It is an arithmetic number, because the mean of its divisors is an integer number (7044440).

Almost surely, 2253148112 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 253148112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422666400).

253148112 is an abundant number, since it is smaller than the sum of its proper divisors (592184688).

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

253148112 is a wasteful number, since it uses less digits than its factorization.

253148112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11990 (or 11971 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 253148112 is about 15910.6289002038. The cubic root of 253148112 is about 632.5937511467.

Adding to 253148112 its reverse (211841352), we get a palindrome (464989464).

The spelling of 253148112 in words is "two hundred fifty-three million, one hundred forty-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 378 392 432 441 504 588 756 784 882 1008 1176 1323 1512 1764 2352 2646 3024 3528 5292 7056 10584 11959 21168 23918 35877 47836 71754 83713 95672 107631 143508 167426 191344 215262 251139 287016 322893 334852 430524 502278 574032 585991 645786 669704 753417 861048 1004556 1171982 1291572 1339408 1506834 1722096 1757973 2009112 2260251 2343964 2583144 3013668 3515946 4018224 4520502 4687928 5166288 5273919 6027336 7031892 9041004 9375856 10547838 12054672 14063784 15821757 18082008 21095676 28127568 31643514 36164016 42191352 63287028 84382704 126574056 253148112