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11900980 = 2257132503
BaseRepresentation
bin101101011001…
…100000110100
3211101122002001
4231121200310
511021312410
61103025044
7203104510
oct55314064
924348061
1011900980
116799423
123b9b184
132608c00
14181b140
1510a133a
hexb59834

11900980 has 72 divisors (see below), whose sum is σ = 30989952. Its totient is φ = 3758976.

The previous prime is 11900963. The next prime is 11900989. The reversal of 11900980 is 8900911.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11900989) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 23409 + ... + 23911.

It is an arithmetic number, because the mean of its divisors is an integer number (430416).

Almost surely, 211900980 is an apocalyptic number.

11900980 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 11900980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15494976).

11900980 is an abundant number, since it is smaller than the sum of its proper divisors (19088972).

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

11900980 is a wasteful number, since it uses less digits than its factorization.

11900980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545 (or 530 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 28.

The square root of 11900980 is about 3449.7797031115. The cubic root of 11900980 is about 228.3113884226.

It can be divided in two parts, 11900 and 980, that added together give a triangular number (12880 = T160).

The spelling of 11900980 in words is "eleven million, nine hundred thousand, nine hundred eighty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 169 182 260 338 364 455 503 676 845 910 1006 1183 1690 1820 2012 2366 2515 3380 3521 4732 5030 5915 6539 7042 10060 11830 13078 14084 17605 23660 26156 32695 35210 45773 65390 70420 85007 91546 130780 170014 183092 228865 340028 425035 457730 595049 850070 915460 1190098 1700140 2380196 2975245 5950490 11900980