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11390820 = 2235737733
BaseRepresentation
bin101011011100…
…111101100100
3210102201021020
4223130331210
510404001240
61044051140
7165551250
oct53347544
923381236
1011390820
116480101
123993ab0
13248a93c
141727260
1510000d0
hexadcf64

11390820 has 96 divisors (see below), whose sum is σ = 37486848. Its totient is φ = 2529792.

The previous prime is 11390809. The next prime is 11390831. The reversal of 11390820 is 2809311.

It is an interprime number because it is at equal distance from previous prime (11390809) and next prime (11390831).

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, 15174 + ... + 15906.

It is an arithmetic number, because the mean of its divisors is an integer number (390488).

Almost surely, 211390820 is an apocalyptic number.

11390820 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 11390820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18743424).

11390820 is an abundant number, since it is smaller than the sum of its proper divisors (26096028).

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

11390820 is a wasteful number, since it uses less digits than its factorization.

11390820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 11390820 is about 3375.0288887653. The cubic root of 11390820 is about 225.0012839433.

The spelling of 11390820 in words is "eleven million, three hundred ninety thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 37 42 60 70 74 84 105 111 140 148 185 210 222 259 370 420 444 518 555 733 740 777 1036 1110 1295 1466 1554 2199 2220 2590 2932 3108 3665 3885 4398 5131 5180 7330 7770 8796 10262 10995 14660 15393 15540 20524 21990 25655 27121 30786 43980 51310 54242 61572 76965 81363 102620 108484 135605 153930 162726 189847 271210 307860 325452 379694 406815 542420 569541 759388 813630 949235 1139082 1627260 1898470 2278164 2847705 3796940 5695410 11390820