Search a number
-
+
20626830 = 23257291129
BaseRepresentation
bin100111010101…
…1110110001110
31102210221200200
41032223312032
520240024310
62014034330
7340216350
oct116536616
942727620
1020626830
1110709274
126aa89a6
134372833
142a4d0d0
151c269c0
hex13abd8e

20626830 has 96 divisors (see below), whose sum is σ = 63460800. Its totient is φ = 4548096.

The previous prime is 20626789. The next prime is 20626841. The reversal of 20626830 is 3862602.

20626830 is a `hidden beast` number, since 2 + 0 + 626 + 8 + 30 = 666.

It is a super-2 number, since 2×206268302 = 850932231697800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20626794 and 20626803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17706 + ... + 18834.

It is an arithmetic number, because the mean of its divisors is an integer number (661050).

Almost surely, 220626830 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20626830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31730400).

20626830 is an abundant number, since it is smaller than the sum of its proper divisors (42833970).

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

20626830 is a wasteful number, since it uses less digits than its factorization.

20626830 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 20626830 is about 4541.6770030463. The cubic root of 20626830 is about 274.2484382472.

The spelling of 20626830 in words is "twenty million, six hundred twenty-six thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 29 30 35 42 45 58 63 70 87 90 105 126 145 174 203 210 261 290 315 406 435 522 609 630 870 1015 1129 1218 1305 1827 2030 2258 2610 3045 3387 3654 5645 6090 6774 7903 9135 10161 11290 15806 16935 18270 20322 23709 32741 33870 39515 47418 50805 65482 71127 79030 98223 101610 118545 142254 163705 196446 229187 237090 294669 327410 355635 458374 491115 589338 687561 711270 982230 1145935 1375122 1473345 2062683 2291870 2946690 3437805 4125366 6875610 10313415 20626830