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20121608 = 23131719599
BaseRepresentation
bin100110011000…
…0100000001000
31101212021122202
41030300200020
520122342413
61555135332
7333013403
oct114604010
941767582
1020121608
11103a3731
1268a4548
1342268a0
14295ad3a
151b76e58
hex1330808

20121608 has 64 divisors (see below), whose sum is σ = 45360000. Its totient is φ = 8266752.

The previous prime is 20121581. The next prime is 20121623. The reversal of 20121608 is 80612102.

It is a self number, because there is not a number n which added to its sum of digits gives 20121608.

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, 33293 + ... + 33891.

It is an arithmetic number, because the mean of its divisors is an integer number (708750).

Almost surely, 220121608 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 20121608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22680000).

20121608 is an abundant number, since it is smaller than the sum of its proper divisors (25238392).

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

20121608 is a wasteful number, since it uses less digits than its factorization.

20121608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 20121608 is about 4485.7115377608. The cubic root of 20121608 is about 271.9908085129.

The spelling of 20121608 in words is "twenty million, one hundred twenty-one thousand, six hundred eight".

Divisors: 1 2 4 8 13 17 19 26 34 38 52 68 76 104 136 152 221 247 323 442 494 599 646 884 988 1198 1292 1768 1976 2396 2584 4199 4792 7787 8398 10183 11381 15574 16796 20366 22762 31148 33592 40732 45524 62296 81464 91048 132379 147953 193477 264758 295906 386954 529516 591812 773908 1059032 1183624 1547816 2515201 5030402 10060804 20121608