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10274264 = 23711131283
BaseRepresentation
bin100111001100…
…010111011000
3201022222122022
4213030113120
510112234024
61004114012
7153221060
oct47142730
921288568
1010274264
115888230
123535908
132189660
1415163a0
15d7e35e
hex9cc5d8

10274264 has 64 divisors (see below), whose sum is σ = 25885440. Its totient is φ = 3692160.

The previous prime is 10274263. The next prime is 10274267. The reversal of 10274264 is 46247201.

10274264 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 (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10274263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7367 + ... + 8649.

It is an arithmetic number, because the mean of its divisors is an integer number (404460).

Almost surely, 210274264 is an apocalyptic number.

10274264 is a gapful number since it is divisible by the number (14) 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 10274264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12942720).

10274264 is an abundant number, since it is smaller than the sum of its proper divisors (15611176).

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

10274264 is a wasteful number, since it uses less digits than its factorization.

10274264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1320 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 10274264 is about 3205.3492789398. The cubic root of 10274264 is about 217.3953449035.

The spelling of 10274264 in words is "ten million, two hundred seventy-four thousand, two hundred sixty-four".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 572 616 728 1001 1144 1283 2002 2566 4004 5132 8008 8981 10264 14113 16679 17962 28226 33358 35924 56452 66716 71848 98791 112904 116753 133432 183469 197582 233506 366938 395164 467012 733876 790328 934024 1284283 1467752 2568566 5137132 10274264