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11842380 = 22325115981
BaseRepresentation
bin101101001011…
…001101001100
3211021122200200
4231023031030
511012424010
61101453500
7202441614
oct55131514
924248620
1011842380
1167593a0
123b71290
1325b8334
141803a44
15108dcc0
hexb4b34c

11842380 has 72 divisors (see below), whose sum is σ = 39194064. Its totient is φ = 2870400.

The previous prime is 11842349. The next prime is 11842393. The reversal of 11842380 is 8324811.

11842380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1011 + ... + 4970.

It is an arithmetic number, because the mean of its divisors is an integer number (544362).

Almost surely, 211842380 is an apocalyptic number.

11842380 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 11842380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19597032).

11842380 is an abundant number, since it is smaller than the sum of its proper divisors (27351684).

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

11842380 is a wasteful number, since it uses less digits than its factorization.

11842380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6007 (or 6002 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 11842380 is about 3441.2759261646. The cubic root of 11842380 is about 227.9360393072.

The spelling of 11842380 in words is "eleven million, eight hundred forty-two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 5981 11962 17943 23924 29905 35886 53829 59810 65791 71772 89715 107658 119620 131582 179430 197373 215316 263164 269145 328955 358860 394746 538290 592119 657910 789492 986865 1076580 1184238 1315820 1973730 2368476 2960595 3947460 5921190 11842380