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10098464 = 254143179
BaseRepresentation
bin100110100001…
…011100100000
3201000001111012
4212201130200
510041122324
61000240052
7151556405
oct46413440
921001435
1010098464
115778142
123470028
13212762c
1414ac2ac
15d4720e
hex9a1720

10098464 has 48 divisors (see below), whose sum is σ = 20956320. Its totient is φ = 4784640.

The previous prime is 10098463. The next prime is 10098469. The reversal of 10098464 is 46489001.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 10098464.

It is not an unprimeable number, because it can be changed into a prime (10098463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56327 + ... + 56505.

It is an arithmetic number, because the mean of its divisors is an integer number (436590).

Almost surely, 210098464 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 10098464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10478160).

10098464 is an abundant number, since it is smaller than the sum of its proper divisors (10857856).

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

10098464 is a wasteful number, since it uses less digits than its factorization.

10098464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 10098464 is about 3177.8080495839. The cubic root of 10098464 is about 216.1482749640.

The spelling of 10098464 in words is "ten million, ninety-eight thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 41 43 82 86 164 172 179 328 344 358 656 688 716 1312 1376 1432 1763 2864 3526 5728 7052 7339 7697 14104 14678 15394 28208 29356 30788 56416 58712 61576 117424 123152 234848 246304 315577 631154 1262308 2524616 5049232 10098464