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20861148 = 223711107211
BaseRepresentation
bin100111110010…
…1000011011100
31110020212010010
41033211003130
520320024043
62023043220
7342213450
oct117450334
943225103
1020861148
1110859320
126ba0510
134425399
142ab0660
151c71133
hex13e50dc

20861148 has 96 divisors (see below), whose sum is σ = 61544448. Its totient is φ = 5342400.

The previous prime is 20861143. The next prime is 20861167. The reversal of 20861148 is 84116802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20861143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98763 + ... + 98973.

It is an arithmetic number, because the mean of its divisors is an integer number (641088).

Almost surely, 220861148 is an apocalyptic number.

20861148 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20861148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30772224).

20861148 is an abundant number, since it is smaller than the sum of its proper divisors (40683300).

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

20861148 is a wasteful number, since it uses less digits than its factorization.

20861148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 30.

The square root of 20861148 is about 4567.4005736305. The cubic root of 20861148 is about 275.2830056255.

It can be divided in two parts, 20 and 861148, that added together give a palindrome (861168).

The spelling of 20861148 in words is "twenty million, eight hundred sixty-one thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 107 132 154 211 214 231 308 321 422 428 462 633 642 749 844 924 1177 1266 1284 1477 1498 2247 2321 2354 2532 2954 2996 3531 4431 4494 4642 4708 5908 6963 7062 8239 8862 8988 9284 13926 14124 16247 16478 17724 22577 24717 27852 32494 32956 45154 48741 49434 64988 67731 90308 97482 98868 135462 158039 194964 248347 270924 316078 474117 496694 632156 745041 948234 993388 1490082 1738429 1896468 2980164 3476858 5215287 6953716 10430574 20861148