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11274876 = 2234172389
BaseRepresentation
bin101011000000…
…101001111100
3210012211020000
4223000221330
510341244001
61041354300
7164556234
oct53005174
923184200
1011274876
116400a88
123938990
132449c32
1416d6cc4
15ecaa86
hexac0a7c

11274876 has 120 divisors (see below), whose sum is σ = 32931360. Its totient is φ = 3345408.

The previous prime is 11274869. The next prime is 11274889. The reversal of 11274876 is 67847211.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 11274876.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 126640 + ... + 126728.

It is an arithmetic number, because the mean of its divisors is an integer number (274428).

Almost surely, 211274876 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 11274876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16465680).

11274876 is an abundant number, since it is smaller than the sum of its proper divisors (21656484).

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

11274876 is a wasteful number, since it uses less digits than its factorization.

11274876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 134 counting only the distinct ones).

The product of its digits is 18816, while the sum is 36.

The square root of 11274876 is about 3357.8082137013. The cubic root of 11274876 is about 224.2352704501.

The spelling of 11274876 in words is "eleven million, two hundred seventy-four thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 17 18 23 27 34 36 46 51 54 68 69 81 89 92 102 108 138 153 162 178 204 207 267 276 306 324 356 391 414 459 534 612 621 782 801 828 918 1068 1173 1242 1377 1513 1564 1602 1836 1863 2047 2346 2403 2484 2754 3026 3204 3519 3726 4094 4539 4692 4806 5508 6052 6141 7038 7209 7452 8188 9078 9612 10557 12282 13617 14076 14418 18156 18423 21114 24564 27234 28836 31671 34799 36846 40851 42228 54468 55269 63342 69598 73692 81702 104397 110538 122553 126684 139196 163404 165807 208794 221076 245106 313191 331614 417588 490212 626382 663228 939573 1252764 1879146 2818719 3758292 5637438 11274876