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20601630 = 2325753617
BaseRepresentation
bin100111010010…
…1101100011110
31102202200010100
41032211230132
520233223010
62013321530
7340053030
oct116455436
942680110
1020601630
11106a1345
126a962a6
13436421a
142a43c50
151c1e2c0
hex13a5b1e

20601630 has 96 divisors (see below), whose sum is σ = 62472384. Its totient is φ = 4612608.

The previous prime is 20601617. The next prime is 20601667. The reversal of 20601630 is 3610602.

It is a happy number.

20601630 is a `hidden beast` number, since 2 + 0 + 601 + 63 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 33082 + ... + 33698.

It is an arithmetic number, because the mean of its divisors is an integer number (650754).

Almost surely, 220601630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20601630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31236192).

20601630 is an abundant number, since it is smaller than the sum of its proper divisors (41870754).

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

20601630 is a wasteful number, since it uses less digits than its factorization.

20601630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 20601630 is about 4538.9018495667. The cubic root of 20601630 is about 274.1367087345.

The spelling of 20601630 in words is "twenty million, six hundred one thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 53 63 70 90 105 106 126 159 210 265 315 318 371 477 530 617 630 742 795 954 1113 1234 1590 1851 1855 2226 2385 3085 3339 3702 3710 4319 4770 5553 5565 6170 6678 8638 9255 11106 11130 12957 16695 18510 21595 25914 27765 32701 33390 38871 43190 55530 64785 65402 77742 98103 129570 163505 194355 196206 228907 294309 327010 388710 457814 490515 588618 686721 981030 1144535 1373442 1471545 2060163 2289070 2943090 3433605 4120326 6867210 10300815 20601630