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20974896 = 2433232111
BaseRepresentation
bin101000000000…
…0110100110000
31110110122011000
41100000310300
520332144041
62025322000
7343166205
oct120006460
943418130
1020974896
1110926828
127036300
1344650a7
142addcac
151c94bb6
hex1400d30

20974896 has 80 divisors (see below), whose sum is σ = 62853120. Its totient is φ = 6684480.

The previous prime is 20974883. The next prime is 20974901. The reversal of 20974896 is 69847902.

It is a happy number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8881 + ... + 10991.

It is an arithmetic number, because the mean of its divisors is an integer number (785664).

Almost surely, 220974896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20974896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31426560).

20974896 is an abundant number, since it is smaller than the sum of its proper divisors (41878224).

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

20974896 is a wasteful number, since it uses less digits than its factorization.

20974896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2151 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 20974896 is about 4579.8358049170. The cubic root of 20974896 is about 275.7824372423.

The spelling of 20974896 in words is "twenty million, nine hundred seventy-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 552 621 828 1104 1242 1656 2111 2484 3312 4222 4968 6333 8444 9936 12666 16888 18999 25332 33776 37998 48553 50664 56997 75996 97106 101328 113994 145659 151992 194212 227988 291318 303984 388424 436977 455976 582636 776848 873954 911952 1165272 1310931 1747908 2330544 2621862 3495816 5243724 6991632 10487448 20974896