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20974860 = 22325196133
BaseRepresentation
bin101000000000…
…0110100001100
31110110122002200
41100000310030
520332143420
62025321500
7343166124
oct120006414
943418080
1020974860
11109267a5
127036290
13446507a
142addc84
151c94b90
hex1400d0c

20974860 has 72 divisors (see below), whose sum is σ = 66983280. Its totient is φ = 5298048.

The previous prime is 20974853. The next prime is 20974861. The reversal of 20974860 is 6847902.

It is a super-3 number, since 3×209748603 (a number of 23 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (20974861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 354 + ... + 6486.

Almost surely, 220974860 is an apocalyptic number.

20974860 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 20974860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33491640).

20974860 is an abundant number, since it is smaller than the sum of its proper divisors (46008420).

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

20974860 is a wasteful number, since it uses less digits than its factorization.

20974860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6167 (or 6162 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 20974860 is about 4579.8318746434. The cubic root of 20974860 is about 275.7822794637.

The spelling of 20974860 in words is "twenty million, nine hundred seventy-four thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 6133 12266 18399 24532 30665 36798 55197 61330 73596 91995 110394 116527 122660 183990 220788 233054 275985 349581 367980 466108 551970 582635 699162 1048743 1103940 1165270 1398324 1747905 2097486 2330540 3495810 4194972 5243715 6991620 10487430 20974860