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11098152 = 23321371167
BaseRepresentation
bin101010010101…
…100000101000
3202212211210200
4222111200220
510320120102
61033512200
7163222062
oct52254050
922784720
1011098152
1162a022a
123872660
1323b7670
14168c732
15e9351c
hexa95828

11098152 has 96 divisors (see below), whose sum is σ = 33022080. Its totient is φ = 3346560.

The previous prime is 11098141. The next prime is 11098159. The reversal of 11098152 is 25189011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11098159) 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, 66373 + ... + 66539.

It is an arithmetic number, because the mean of its divisors is an integer number (343980).

Almost surely, 211098152 is an apocalyptic number.

11098152 is a gapful number since it is divisible by the number (12) 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 11098152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16511040).

11098152 is an abundant number, since it is smaller than the sum of its proper divisors (21923928).

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

11098152 is a wasteful number, since it uses less digits than its factorization.

11098152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 11098152 is about 3331.3888995433. The cubic root of 11098152 is about 223.0575303853.

It can be divided in two parts, 1109 and 8152, that added together give a cube (9261 = 213).

The spelling of 11098152 in words is "eleven million, ninety-eight thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 71 72 78 104 117 142 156 167 213 234 284 312 334 426 468 501 568 639 668 852 923 936 1002 1278 1336 1503 1704 1846 2004 2171 2556 2769 3006 3692 4008 4342 5112 5538 6012 6513 7384 8307 8684 11076 11857 12024 13026 16614 17368 19539 22152 23714 26052 33228 35571 39078 47428 52104 66456 71142 78156 94856 106713 142284 154141 156312 213426 284568 308282 426852 462423 616564 853704 924846 1233128 1387269 1849692 2774538 3699384 5549076 11098152