Search a number
-
+
20037108 = 22371359311
BaseRepresentation
bin100110001101…
…1110111110100
31101200222202010
41030123313310
520112141413
61553244220
7332212140
oct114336764
941628663
1020037108
11103461a3
126863670
1341c72a0
142938220
151b5bdc3
hex131bdf4

20037108 has 96 divisors (see below), whose sum is σ = 58705920. Its totient is φ = 5178240.

The previous prime is 20037107. The next prime is 20037109. The reversal of 20037108 is 80173002.

It is an interprime number because it is at equal distance from previous prime (20037107) and next prime (20037109).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20037107) 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, 64273 + ... + 64583.

It is an arithmetic number, because the mean of its divisors is an integer number (611520).

Almost surely, 220037108 is an apocalyptic number.

20037108 is a gapful number since it is divisible by the number (28) 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 20037108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29352960).

20037108 is an abundant number, since it is smaller than the sum of its proper divisors (38668812).

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

20037108 is a wasteful number, since it uses less digits than its factorization.

20037108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 20037108 is about 4476.2828328871. The cubic root of 20037108 is about 271.6095356212.

The spelling of 20037108 in words is "twenty million, thirty-seven thousand, one hundred eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 59 78 84 91 118 156 177 182 236 273 311 354 364 413 546 622 708 767 826 933 1092 1239 1244 1534 1652 1866 2177 2301 2478 3068 3732 4043 4354 4602 4956 5369 6531 8086 8708 9204 10738 12129 13062 16107 16172 18349 21476 24258 26124 28301 32214 36698 48516 55047 56602 64428 73396 84903 110094 113204 128443 169806 220188 238537 256886 339612 385329 477074 513772 715611 770658 954148 1431222 1541316 1669759 2862444 3339518 5009277 6679036 10018554 20037108