Search a number
-
+
10922240 = 28572353
BaseRepresentation
bin101001101010…
…100100000000
3202112220111102
4221222210000
510244002430
61030033532
7161560160
oct51524400
922486442
1010922240
11619004a
1237a88a8
132355584
1416445a0
15e5b345
hexa6a900

10922240 has 144 divisors (see below), whose sum is σ = 31788288. Its totient is φ = 3514368.

The previous prime is 10922237. The next prime is 10922267. The reversal of 10922240 is 4222901.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 206054 + ... + 206106.

It is an arithmetic number, because the mean of its divisors is an integer number (220752).

Almost surely, 210922240 is an apocalyptic number.

10922240 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 10922240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15894144).

10922240 is an abundant number, since it is smaller than the sum of its proper divisors (20866048).

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

10922240 is an equidigital number, since it uses as much as digits as its factorization.

10922240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 10922240 is about 3304.8812384108. The cubic root of 10922240 is about 221.8727187493.

The spelling of 10922240 in words is "ten million, nine hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 53 56 64 70 80 92 106 112 115 128 140 160 161 184 212 224 230 256 265 280 320 322 368 371 424 448 460 530 560 640 644 736 742 805 848 896 920 1060 1120 1219 1280 1288 1472 1484 1610 1696 1792 1840 1855 2120 2240 2438 2576 2944 2968 3220 3392 3680 3710 4240 4480 4876 5152 5888 5936 6095 6440 6784 7360 7420 8480 8533 8960 9752 10304 11872 12190 12880 13568 14720 14840 16960 17066 19504 20608 23744 24380 25760 29440 29680 33920 34132 39008 41216 42665 47488 48760 51520 59360 67840 68264 78016 85330 94976 97520 103040 118720 136528 156032 170660 195040 206080 237440 273056 312064 341320 390080 474880 546112 682640 780160 1092224 1365280 1560320 2184448 2730560 5461120 10922240