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18839920 = 2451179271
BaseRepresentation
bin100011111011…
…1100101110000
31022110011111211
41013313211300
514310334140
61511445504
7316064611
oct107674560
938404454
1018839920
11a6a8790
126386894
133b983a8
142705c08
1519c22ea
hex11f7970

18839920 has 80 divisors (see below), whose sum is σ = 48568320. Its totient is φ = 6739200.

The previous prime is 18839917. The next prime is 18839923. The reversal of 18839920 is 2993881.

It is an interprime number because it is at equal distance from previous prime (18839917) and next prime (18839923).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18839923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69385 + ... + 69655.

It is an arithmetic number, because the mean of its divisors is an integer number (607104).

Almost surely, 218839920 is an apocalyptic number.

18839920 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 18839920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24284160).

18839920 is an abundant number, since it is smaller than the sum of its proper divisors (29728400).

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

18839920 is a wasteful number, since it uses less digits than its factorization.

18839920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The square root of 18839920 is about 4340.4976673188. The cubic root of 18839920 is about 266.0886507992.

It can be divided in two parts, 18 and 839920, that added together give a palindrome (839938).

The spelling of 18839920 in words is "eighteen million, eight hundred thirty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 79 80 88 110 158 176 220 271 316 395 440 542 632 790 869 880 1084 1264 1355 1580 1738 2168 2710 2981 3160 3476 4336 4345 5420 5962 6320 6952 8690 10840 11924 13904 14905 17380 21409 21680 23848 29810 34760 42818 47696 59620 69520 85636 107045 119240 171272 214090 235499 238480 342544 428180 470998 856360 941996 1177495 1712720 1883992 2354990 3767984 4709980 9419960 18839920