Search a number
-
+
20513196 = 22331131557
BaseRepresentation
bin100111001000…
…0000110101100
31102121011211000
41032100012230
520222410241
62011400300
7336234144
oct116200654
942534730
1020513196
1110640960
126a53090
134332bb2
142a1d924
151c02eb6
hex13901ac

20513196 has 96 divisors (see below), whose sum is σ = 59996160. Its totient is φ = 6004800.

The previous prime is 20513191. The next prime is 20513231. The reversal of 20513196 is 69131502.

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

It is not an unprimeable number, because it can be changed into a prime (20513191) 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, 36550 + ... + 37106.

It is an arithmetic number, because the mean of its divisors is an integer number (624960).

Almost surely, 220513196 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 20513196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29998080).

20513196 is an abundant number, since it is smaller than the sum of its proper divisors (39482964).

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

20513196 is a wasteful number, since it uses less digits than its factorization.

20513196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 20513196 is about 4529.1495890509. The cubic root of 20513196 is about 273.7438955291.

Adding to 20513196 its reverse (69131502), we get a palindrome (89644698).

It can be divided in two parts, 2051319 and 6, that added together give a triangular number (2051325 = T2025).

The spelling of 20513196 in words is "twenty million, five hundred thirteen thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 31 33 36 44 54 62 66 93 99 108 124 132 186 198 279 297 341 372 396 557 558 594 682 837 1023 1114 1116 1188 1364 1671 1674 2046 2228 3069 3342 3348 4092 5013 6127 6138 6684 9207 10026 12254 12276 15039 17267 18381 18414 20052 24508 30078 34534 36762 36828 51801 55143 60156 69068 73524 103602 110286 155403 165429 189937 207204 220572 310806 330858 379874 466209 569811 621612 661716 759748 932418 1139622 1709433 1864836 2279244 3418866 5128299 6837732 10256598 20513196