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20542116 = 22371961211
BaseRepresentation
bin100111001011…
…1001010100100
31102122122111010
41032113022210
520224321431
62012142220
7336414360
oct116271244
942578433
1020542116
1110660661
126a67970
1343430ca
142a2a2a0
151c0b846
hex13972a4

20542116 has 96 divisors (see below), whose sum is σ = 58885120. Its totient is φ = 5443200.

The previous prime is 20542099. The next prime is 20542153. The reversal of 20542116 is 61124502.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 20542092 and 20542101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97251 + ... + 97461.

Almost surely, 220542116 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 20542116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29442560).

20542116 is an abundant number, since it is smaller than the sum of its proper divisors (38343004).

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

20542116 is a wasteful number, since it uses less digits than its factorization.

20542116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 20542116 is about 4532.3411169064. The cubic root of 20542116 is about 273.8724787103.

Adding to 20542116 its reverse (61124502), we get a palindrome (81666618).

The spelling of 20542116 in words is "twenty million, five hundred forty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 61 76 84 114 122 133 183 211 228 244 266 366 399 422 427 532 633 732 798 844 854 1159 1266 1281 1477 1596 1708 2318 2532 2562 2954 3477 4009 4431 4636 5124 5908 6954 8018 8113 8862 12027 12871 13908 16036 16226 17724 24054 24339 25742 28063 32452 38613 48108 48678 51484 56126 77226 84189 90097 97356 112252 154452 168378 180194 244549 270291 336756 360388 489098 540582 733647 978196 1081164 1467294 1711843 2934588 3423686 5135529 6847372 10271058 20542116