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11157048 = 2333747157
BaseRepresentation
bin101010100011…
…111000111000
3202222211121000
4222203320320
510324011143
61035045000
7163555560
oct52437070
922884530
1011157048
116330501
1238a0760
132408406
1416a5da0
15ea5bd3
hexaa3e38

11157048 has 128 divisors (see below), whose sum is σ = 36403200. Its totient is φ = 3100032.

The previous prime is 11156989. The next prime is 11157053. The reversal of 11157048 is 84075111.

11157048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70986 + ... + 71142.

It is an arithmetic number, because the mean of its divisors is an integer number (284400).

Almost surely, 211157048 is an apocalyptic number.

11157048 is a gapful number since it is divisible by the number (18) 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 11157048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18201600).

11157048 is an abundant number, since it is smaller than the sum of its proper divisors (25246152).

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

11157048 is a wasteful number, since it uses less digits than its factorization.

11157048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 11157048 is about 3340.2167594334. The cubic root of 11157048 is about 223.4514105445.

The spelling of 11157048 in words is "eleven million, one hundred fifty-seven thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 47 54 56 63 72 84 94 108 126 141 157 168 188 189 216 252 282 314 329 376 378 423 471 504 564 628 658 756 846 942 987 1099 1128 1256 1269 1316 1413 1512 1692 1884 1974 2198 2538 2632 2826 2961 3297 3384 3768 3948 4239 4396 5076 5652 5922 6594 7379 7896 8478 8792 8883 9891 10152 11304 11844 13188 14758 16956 17766 19782 22137 23688 26376 29516 29673 33912 35532 39564 44274 51653 59032 59346 66411 71064 79128 88548 103306 118692 132822 154959 177096 199233 206612 237384 265644 309918 398466 413224 464877 531288 619836 796932 929754 1239672 1394631 1593864 1859508 2789262 3719016 5578524 11157048