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10326264 = 23313231439
BaseRepresentation
bin100111011001…
…000011111000
3201102121222020
4213121003320
510120420024
61005154440
7153525504
oct47310370
921377866
1010326264
115913303
12355ba20
1321a7220
14152b304
15d8e979
hex9d90f8

10326264 has 64 divisors (see below), whose sum is σ = 29030400. Its totient is φ = 3037056.

The previous prime is 10326247. The next prime is 10326271. The reversal of 10326264 is 46262301.

10326264 is digitally balanced in base 2 and base 4, because in such bases 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 (24).

It is a congruent number.

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, 6457 + ... + 7895.

It is an arithmetic number, because the mean of its divisors is an integer number (453600).

Almost surely, 210326264 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 10326264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14515200).

10326264 is an abundant number, since it is smaller than the sum of its proper divisors (18704136).

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

10326264 is a wasteful number, since it uses less digits than its factorization.

10326264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1484 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 10326264 is about 3213.4504819586. The cubic root of 10326264 is about 217.7614875902.

Subtracting from 10326264 its sum of digits (24), we obtain a triangular number (10326240 = T4544).

Adding to 10326264 its reverse (46262301), we get a palindrome (56588565).

The spelling of 10326264 in words is "ten million, three hundred twenty-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 23 24 26 39 46 52 69 78 92 104 138 156 184 276 299 312 552 598 897 1196 1439 1794 2392 2878 3588 4317 5756 7176 8634 11512 17268 18707 33097 34536 37414 56121 66194 74828 99291 112242 132388 149656 198582 224484 264776 397164 430261 448968 794328 860522 1290783 1721044 2581566 3442088 5163132 10326264