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20613690 = 235517499
BaseRepresentation
bin100111010100…
…0101000111010
31102210021200000
41032220220322
520234114230
62013453430
7340133136
oct116505072
942707600
1020613690
11106aa409
126aa1276
134369866
142a483c6
151c22b60
hex13a8a3a

20613690 has 96 divisors (see below), whose sum is σ = 58968000. Its totient is φ = 5163264.

The previous prime is 20613647. The next prime is 20613731. The reversal of 20613690 is 9631602.

It is a happy number.

It is a super-2 number, since 2×206136902 = 849848430832200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 41061 + ... + 41559.

It is an arithmetic number, because the mean of its divisors is an integer number (614250).

Almost surely, 220613690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20613690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29484000).

20613690 is an abundant number, since it is smaller than the sum of its proper divisors (38354310).

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

20613690 is a wasteful number, since it uses less digits than its factorization.

20613690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 20613690 is about 4540.2301703768. The cubic root of 20613690 is about 274.1901906483.

The spelling of 20613690 in words is "twenty million, six hundred thirteen thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 243 255 270 306 405 459 486 499 510 765 810 918 998 1215 1377 1497 1530 2295 2430 2495 2754 2994 4131 4491 4590 4990 6885 7485 8262 8483 8982 13473 13770 14970 16966 20655 22455 25449 26946 40419 41310 42415 44910 50898 67365 76347 80838 84830 121257 127245 134730 152694 202095 229041 242514 254490 381735 404190 458082 606285 687123 763470 1145205 1212570 1374246 2061369 2290410 3435615 4122738 6871230 10306845 20613690