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20930624 = 2611132287
BaseRepresentation
bin100111111011…
…0000001000000
31110101101102022
41033312001000
520324234444
62024341012
7342623141
oct117660100
943341368
1020930624
11108a6540
127014768
13444abb0
142acbac8
151c869ee
hex13f6040

20930624 has 56 divisors (see below), whose sum is σ = 48816768. Its totient is φ = 8778240.

The previous prime is 20930617. The next prime is 20930627. The reversal of 20930624 is 42603902.

It is a Cunningham number, because it is equal to 45752-1.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 20930593 and 20930602.

It is not an unprimeable number, because it can be changed into a prime (20930627) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8009 + ... + 10295.

It is an arithmetic number, because the mean of its divisors is an integer number (871728).

Almost surely, 220930624 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 20930624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24408384).

20930624 is an abundant number, since it is smaller than the sum of its proper divisors (27886144).

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

20930624 is a wasteful number, since it uses less digits than its factorization.

20930624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2323 (or 2313 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 20930624 is about 4574.9998907104. Note that the first 3 decimals coincide. The cubic root of 20930624 is about 275.5882679783.

The spelling of 20930624 in words is "twenty million, nine hundred thirty thousand, six hundred twenty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 143 176 208 286 352 416 572 704 832 1144 2287 2288 4574 4576 9148 9152 18296 25157 29731 36592 50314 59462 73184 100628 118924 146368 201256 237848 327041 402512 475696 654082 805024 951392 1308164 1610048 1902784 2616328 5232656 10465312 20930624