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20361880 = 2357112601
BaseRepresentation
bin100110110101…
…1001010011000
31102022111020201
41031223022120
520203040010
62004231544
7335034040
oct115531230
942274221
1020361880
1110548200
12699b5b4
1342ac066
1429c0720
151bc323a
hex136b298

20361880 has 96 divisors (see below), whose sum is σ = 57647520. Its totient is φ = 6336000.

The previous prime is 20361851. The next prime is 20361889. The reversal of 20361880 is 8816302.

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 (20361889) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33580 + ... + 34180.

It is an arithmetic number, because the mean of its divisors is an integer number (600495).

Almost surely, 220361880 is an apocalyptic number.

20361880 is a gapful number since it is divisible by the number (20) 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 20361880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28823760).

20361880 is an abundant number, since it is smaller than the sum of its proper divisors (37285640).

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

20361880 is a wasteful number, since it uses less digits than its factorization.

20361880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 626 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 20361880 is about 4512.4139880999. The cubic root of 20361880 is about 273.0691412490.

It can be divided in two parts, 2036 and 1880, that added together give a triangular number (3916 = T88).

The spelling of 20361880 in words is "twenty million, three hundred sixty-one thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 121 140 154 220 242 280 308 385 440 484 601 605 616 770 847 968 1202 1210 1540 1694 2404 2420 3005 3080 3388 4207 4235 4808 4840 6010 6611 6776 8414 8470 12020 13222 16828 16940 21035 24040 26444 33055 33656 33880 42070 46277 52888 66110 72721 84140 92554 132220 145442 168280 185108 231385 264440 290884 363605 370216 462770 509047 581768 727210 925540 1018094 1454420 1851080 2036188 2545235 2908840 4072376 5090470 10180940 20361880