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20370504 = 23371173151
BaseRepresentation
bin100110110110…
…1010001001000
31102022221002010
41031231101020
520203324004
62004335520
7335101140
oct115552110
942287063
1020370504
1110553730
1269a45a0
1342b2c6b
1429c3920
151bc5a89
hex136d448

20370504 has 128 divisors (see below), whose sum is σ = 64788480. Its totient is φ = 5184000.

The previous prime is 20370487. The next prime is 20370509. The reversal of 20370504 is 40507302.

It is a happy number.

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 (20370509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134829 + ... + 134979.

It is an arithmetic number, because the mean of its divisors is an integer number (506160).

Almost surely, 220370504 is an apocalyptic number.

20370504 is a gapful number since it is divisible by the number (24) 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 20370504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32394240).

20370504 is an abundant number, since it is smaller than the sum of its proper divisors (44417976).

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

20370504 is a wasteful number, since it uses less digits than its factorization.

20370504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 20370504 is about 4513.3694730212. The cubic root of 20370504 is about 273.1076873931.

Adding to 20370504 its reverse (40507302), we get a palindrome (60877806).

It can be divided in two parts, 203 and 70504, that added together give a palindrome (70707).

The spelling of 20370504 in words is "twenty million, three hundred seventy thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 73 77 84 88 132 146 151 154 168 219 231 264 292 302 308 438 453 462 511 584 604 616 803 876 906 924 1022 1057 1208 1533 1606 1661 1752 1812 1848 2044 2114 2409 3066 3171 3212 3322 3624 4088 4228 4818 4983 5621 6132 6342 6424 6644 8456 9636 9966 11023 11242 11627 12264 12684 13288 16863 19272 19932 22046 22484 23254 25368 33069 33726 34881 39864 44092 44968 46508 66138 67452 69762 77161 88184 93016 121253 132276 134904 139524 154322 231483 242506 264552 279048 308644 363759 462966 485012 617288 727518 848771 925932 970024 1455036 1697542 1851864 2546313 2910072 3395084 5092626 6790168 10185252 20370504