Search a number
-
+
11157024 = 2532331163
BaseRepresentation
bin101010100011…
…111000100000
3202222211120010
4222203320200
510324011044
61035044520
7163555524
oct52437040
922884503
1011157024
11633048a
1238a0740
1324083b8
1416a5d84
15ea5bb9
hexaa3e20

11157024 has 96 divisors (see below), whose sum is σ = 31739904. Its totient is φ = 3421440.

The previous prime is 11156989. The next prime is 11157053. The reversal of 11157024 is 42075111.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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, 68367 + ... + 68529.

It is an arithmetic number, because the mean of its divisors is an integer number (330624).

Almost surely, 211157024 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 11157024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15869952).

11157024 is an abundant number, since it is smaller than the sum of its proper divisors (20582880).

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

11157024 is a wasteful number, since it uses less digits than its factorization.

11157024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 11157024 is about 3340.2131668503. The cubic root of 11157024 is about 223.4512503217.

The spelling of 11157024 in words is "eleven million, one hundred fifty-seven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 31 32 46 48 62 69 92 93 96 124 138 163 184 186 248 276 326 368 372 489 496 552 652 713 736 744 978 992 1104 1304 1426 1488 1956 2139 2208 2608 2852 2976 3749 3912 4278 5053 5216 5704 7498 7824 8556 10106 11247 11408 14996 15159 15648 17112 20212 22494 22816 29992 30318 34224 40424 44988 59984 60636 68448 80848 89976 116219 119968 121272 161696 179952 232438 242544 348657 359904 464876 485088 697314 929752 1394628 1859504 2789256 3719008 5578512 11157024