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20107626 = 2371171613
BaseRepresentation
bin100110010110…
…1000101101010
31101211120110220
41030231011222
520121421001
61554550510
7332624550
oct114550552
941746426
1020107626
1110394180
126898436
134220406
142955bd0
151b72c36
hex132d16a

20107626 has 64 divisors (see below), whose sum is σ = 50927616. Its totient is φ = 5140800.

The previous prime is 20107621. The next prime is 20107639. The reversal of 20107626 is 62670102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20107596 and 20107605.

It is not an unprimeable number, because it can be changed into a prime (20107621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32496 + ... + 33108.

It is an arithmetic number, because the mean of its divisors is an integer number (795744).

Almost surely, 220107626 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20107626, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25463808).

20107626 is an abundant number, since it is smaller than the sum of its proper divisors (30819990).

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

20107626 is a wasteful number, since it uses less digits than its factorization.

20107626 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707.

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 20107626 is about 4484.1527627859. The cubic root of 20107626 is about 271.9277940546.

Adding to 20107626 its reverse (62670102), we get a palindrome (82777728).

It can be divided in two parts, 201076 and 26, that added together give a palindrome (201102).

The spelling of 20107626 in words is "twenty million, one hundred seven thousand, six hundred twenty-six".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 71 77 142 154 213 231 426 462 497 613 781 994 1226 1491 1562 1839 2343 2982 3678 4291 4686 5467 6743 8582 10934 12873 13486 16401 20229 25746 32802 40458 43523 47201 87046 94402 130569 141603 261138 283206 304661 478753 609322 913983 957506 1436259 1827966 2872518 3351271 6702542 10053813 20107626