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11294920 = 23571329107
BaseRepresentation
bin101011000101…
…100011001000
3210020211201101
4223011203020
510342414140
61042031144
7165001540
oct53054310
923224641
1011294920
11641504a
1239484b4
1324560b0
141700320
15ed199a
hexac58c8

11294920 has 128 divisors (see below), whose sum is σ = 32659200. Its totient is φ = 3419136.

The previous prime is 11294903. The next prime is 11294929. The reversal of 11294920 is 2949211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (11294929) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105507 + ... + 105613.

It is an arithmetic number, because the mean of its divisors is an integer number (255150).

Almost surely, 211294920 is an apocalyptic number.

11294920 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 11294920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16329600).

11294920 is an abundant number, since it is smaller than the sum of its proper divisors (21364280).

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

11294920 is a wasteful number, since it uses less digits than its factorization.

11294920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 11294920 is about 3360.7915734243. The cubic root of 11294920 is about 224.3680704610.

It can be divided in two parts, 1 and 1294920, that added together give a palindrome (1294921).

The spelling of 11294920 in words is "eleven million, two hundred ninety-four thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 29 35 40 52 56 58 65 70 91 104 107 116 130 140 145 182 203 214 232 260 280 290 364 377 406 428 455 520 535 580 728 749 754 812 856 910 1015 1070 1160 1391 1498 1508 1624 1820 1885 2030 2140 2639 2782 2996 3016 3103 3640 3745 3770 4060 4280 5278 5564 5992 6206 6955 7490 7540 8120 9737 10556 11128 12412 13195 13910 14980 15080 15515 19474 21112 21721 24824 26390 27820 29960 31030 38948 40339 43442 48685 52780 55640 62060 77896 80678 86884 97370 105560 108605 124120 161356 173768 194740 201695 217210 282373 322712 389480 403390 434420 564746 806780 868840 1129492 1411865 1613560 2258984 2823730 5647460 11294920