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11434220 = 2257235367
BaseRepresentation
bin101011100111…
…100011101100
3210111220210122
4223213203230
510411343340
61045024112
7166121630
oct53474354
923456718
1011434220
1164aa776
1239b5038
1324a4615
141738dc0
15100cdb5
hexae78ec

11434220 has 96 divisors (see below), whose sum is σ = 29611008. Its totient is φ = 3624192.

The previous prime is 11434201. The next prime is 11434229. The reversal of 11434220 is 2243411.

It is not an unprimeable number, because it can be changed into a prime (11434229) 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, 170627 + ... + 170693.

It is an arithmetic number, because the mean of its divisors is an integer number (308448).

Almost surely, 211434220 is an apocalyptic number.

11434220 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 11434220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14805504).

11434220 is an abundant number, since it is smaller than the sum of its proper divisors (18176788).

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

11434220 is a wasteful number, since it uses less digits than its factorization.

11434220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 11434220 is about 3381.4523506919. The cubic root of 11434220 is about 225.2866798442.

Adding to 11434220 its reverse (2243411), we get a palindrome (13677631).

The spelling of 11434220 in words is "eleven million, four hundred thirty-four thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 53 67 70 92 106 115 134 140 161 212 230 265 268 322 335 371 460 469 530 644 670 742 805 938 1060 1219 1340 1484 1541 1610 1855 1876 2345 2438 3082 3220 3551 3710 4690 4876 6095 6164 7102 7420 7705 8533 9380 10787 12190 14204 15410 17066 17755 21574 24380 24857 30820 34132 35510 42665 43148 49714 53935 71020 81673 85330 99428 107870 124285 163346 170660 215740 248570 326692 408365 497140 571711 816730 1143422 1633460 2286844 2858555 5717110 11434220