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10082296 = 237435379
BaseRepresentation
bin100110011101…
…011111111000
3200222020022101
4212131133320
510040113141
61000033144
7151461310
oct46353770
920866271
1010082296
115766a84
1234627b4
132120173
1414a6440
15d42531
hex99d7f8

10082296 has 64 divisors (see below), whose sum is σ = 22809600. Its totient is φ = 4088448.

The previous prime is 10082287. The next prime is 10082311. The reversal of 10082296 is 69228001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a pancake number, because a pancake can be divided into 10082296 parts by 4490 straight cuts.

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, 127585 + ... + 127663.

It is an arithmetic number, because the mean of its divisors is an integer number (356400).

Almost surely, 210082296 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 10082296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11404800).

10082296 is an abundant number, since it is smaller than the sum of its proper divisors (12727304).

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

10082296 is a wasteful number, since it uses less digits than its factorization.

10082296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 10082296 is about 3175.2631387021. The cubic root of 10082296 is about 216.0328596556.

The spelling of 10082296 in words is "ten million, eighty-two thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 28 43 53 56 79 86 106 158 172 212 301 316 344 371 424 553 602 632 742 1106 1204 1484 2212 2279 2408 2968 3397 4187 4424 4558 6794 8374 9116 13588 15953 16748 18232 23779 27176 29309 31906 33496 47558 58618 63812 95116 117236 127624 180041 190232 234472 360082 720164 1260287 1440328 2520574 5041148 10082296