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11097520 = 2457219149
BaseRepresentation
bin101010010101…
…010110110000
3202212210221021
4222111112300
510320110040
61033505224
7163220200
oct52252660
922783837
1011097520
11629a805
123872214
1323b72a5
14168c400
15e9324a
hexa955b0

11097520 has 120 divisors (see below), whose sum is σ = 31806000. Its totient is φ = 3580416.

The previous prime is 11097497. The next prime is 11097551. The reversal of 11097520 is 2579011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74406 + ... + 74554.

It is an arithmetic number, because the mean of its divisors is an integer number (265050).

Almost surely, 211097520 is an apocalyptic number.

11097520 is a gapful number since it is divisible by the number (10) 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 11097520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15903000).

11097520 is an abundant number, since it is smaller than the sum of its proper divisors (20708480).

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

11097520 is a wasteful number, since it uses less digits than its factorization.

11097520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 25.

The square root of 11097520 is about 3331.2940428608. The cubic root of 11097520 is about 223.0532961958.

The spelling of 11097520 in words is "eleven million, ninety-seven thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 49 56 70 76 80 95 98 112 133 140 149 152 190 196 245 266 280 298 304 380 392 490 532 560 596 665 745 760 784 931 980 1043 1064 1192 1330 1490 1520 1862 1960 2086 2128 2384 2660 2831 2980 3724 3920 4172 4655 5215 5320 5662 5960 7301 7448 8344 9310 10430 10640 11324 11920 14155 14602 14896 16688 18620 19817 20860 22648 28310 29204 36505 37240 39634 41720 45296 56620 58408 73010 74480 79268 83440 99085 113240 116816 138719 146020 158536 198170 226480 277438 292040 317072 396340 554876 584080 693595 792680 1109752 1387190 1585360 2219504 2774380 5548760 11097520