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253021104 = 24337211953
BaseRepresentation
bin11110001010011…
…00101110110000
3122122002210201000
433011030232300
51004233133404
641035042000
76161433600
oct1705145660
9578083630
10253021104
1111a907556
12708a0300
134055c83b
1425864c00
151732e339
hexf14cbb0

253021104 has 120 divisors (see below), whose sum is σ = 844908720. Its totient is φ = 72285696.

The previous prime is 253021103. The next prime is 253021123. The reversal of 253021104 is 401120352.

253021104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (253021103) 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, 15192 + ... + 27144.

It is an arithmetic number, because the mean of its divisors is an integer number (7040906).

Almost surely, 2253021104 is an apocalyptic number.

253021104 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 253021104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422454360).

253021104 is an abundant number, since it is smaller than the sum of its proper divisors (591887616).

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

253021104 is a wasteful number, since it uses less digits than its factorization.

253021104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11984 (or 11965 counting only the distinct ones).

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

The square root of 253021104 is about 15906.6371053092. The cubic root of 253021104 is about 632.4879396952.

Adding to 253021104 its reverse (401120352), we get a palindrome (654141456).

The spelling of 253021104 in words is "two hundred fifty-three million, twenty-one thousand, one hundred four".

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 11953 21168 23906 35859 47812 71718 83671 95624 107577 143436 167342 191248 215154 251013 286872 322731 334684 430308 502026 573744 585697 645462 669368 753039 860616 1004052 1171394 1290924 1338736 1506078 1721232 1757091 2008104 2259117 2342788 2581848 3012156 3514182 4016208 4518234 4685576 5163696 5271273 6024312 7028364 9036468 9371152 10542546 12048624 14056728 15813819 18072936 21085092 28113456 31627638 36145872 42170184 63255276 84340368 126510552 253021104