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20938974 = 2372671063
BaseRepresentation
bin100111111100…
…0000011011110
31110101210212120
41033320003132
520330021344
62024443410
7342656400
oct117700336
943353776
1020938974
1110901841
127019566
134451934
142ad0b70
151c89219
hex13f80de

20938974 has 48 divisors (see below), whose sum is σ = 49488768. Its totient is φ = 5887728.

The previous prime is 20938949. The next prime is 20938997. The reversal of 20938974 is 47983902.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19167 + ... + 20229.

It is an arithmetic number, because the mean of its divisors is an integer number (1031016).

Almost surely, 220938974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20938974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24744384).

20938974 is an abundant number, since it is smaller than the sum of its proper divisors (28549794).

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

20938974 is a wasteful number, since it uses less digits than its factorization.

20938974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 20938974 is about 4575.9123680420. The cubic root of 20938974 is about 275.6249105568.

It can be divided in two parts, 20938 and 974, that added together give a palindrome (21912).

The spelling of 20938974 in words is "twenty million, nine hundred thirty-eight thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 7 14 21 42 49 67 98 134 147 201 294 402 469 938 1063 1407 2126 2814 3189 3283 6378 6566 7441 9849 14882 19698 22323 44646 52087 71221 104174 142442 156261 213663 312522 427326 498547 997094 1495641 2991282 3489829 6979658 10469487 20938974