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11474320 = 24511131759
BaseRepresentation
bin101011110001…
…010110010000
3210120221210211
4223301112100
510414134240
61045533504
7166346554
oct53612620
923527724
1011474320
116527910
123a14294
1324b9950
141749864
151019bea
hexaf1590

11474320 has 160 divisors (see below), whose sum is σ = 33747840. Its totient is φ = 3563520.

The previous prime is 11474317. The next prime is 11474357. The reversal of 11474320 is 2347411.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 11474291 and 11474300.

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 31 ways as a sum of consecutive naturals, for example, 194451 + ... + 194509.

It is an arithmetic number, because the mean of its divisors is an integer number (210924).

Almost surely, 211474320 is an apocalyptic number.

11474320 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 11474320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16873920).

11474320 is an abundant number, since it is smaller than the sum of its proper divisors (22273520).

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

11474320 is a wasteful number, since it uses less digits than its factorization.

11474320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 11474320 is about 3387.3765660168. The cubic root of 11474320 is about 225.5497339513.

The spelling of 11474320 in words is "eleven million, four hundred seventy-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 17 20 22 26 34 40 44 52 55 59 65 68 80 85 88 104 110 118 130 136 143 170 176 187 208 220 221 236 260 272 286 295 340 374 440 442 472 520 572 590 649 680 715 748 767 880 884 935 944 1003 1040 1105 1144 1180 1298 1360 1430 1496 1534 1768 1870 2006 2210 2288 2360 2431 2596 2860 2992 3068 3245 3536 3740 3835 4012 4420 4720 4862 5015 5192 5720 6136 6490 7480 7670 8024 8437 8840 9724 10030 10384 11033 11440 12155 12272 12980 13039 14960 15340 16048 16874 17680 19448 20060 22066 24310 25960 26078 30680 33748 38896 40120 42185 44132 48620 51920 52156 55165 61360 65195 67496 80240 84370 88264 97240 104312 110330 130390 134992 143429 168740 176528 194480 208624 220660 260780 286858 337480 441320 521560 573716 674960 717145 882640 1043120 1147432 1434290 2294864 2868580 5737160 11474320