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11897820 = 22335112003
BaseRepresentation
bin101101011000…
…101111011100
3211101110202000
4231120233130
511021212240
61103002300
7203062344
oct55305734
924343660
1011897820
116797010
123b99390
13260763c
141819d24
1510a0430
hexb58bdc

11897820 has 96 divisors (see below), whose sum is σ = 40400640. Its totient is φ = 2882880.

The previous prime is 11897803. The next prime is 11897827. The reversal of 11897820 is 2879811.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11897827) 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, 4939 + ... + 6941.

It is an arithmetic number, because the mean of its divisors is an integer number (420840).

Almost surely, 211897820 is an apocalyptic number.

11897820 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 11897820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20200320).

11897820 is an abundant number, since it is smaller than the sum of its proper divisors (28502820).

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

11897820 is a wasteful number, since it uses less digits than its factorization.

11897820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2032 (or 2024 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 11897820 is about 3449.3216724452. The cubic root of 11897820 is about 228.2911792227.

Subtracting from 11897820 its reverse (2879811), we obtain a square (9018009 = 30032).

It can be divided in two parts, 1189 and 7820, that added together give a palindrome (9009).

The spelling of 11897820 in words is "eleven million, eight hundred ninety-seven thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2003 2970 4006 5940 6009 8012 10015 12018 18027 20030 22033 24036 30045 36054 40060 44066 54081 60090 66099 72108 88132 90135 108162 110165 120180 132198 180270 198297 216324 220330 264396 270405 330495 360540 396594 440660 540810 594891 660990 793188 991485 1081620 1189782 1321980 1982970 2379564 2974455 3965940 5948910 11897820