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21015148 = 2271131271
BaseRepresentation
bin101000000101…
…0101001101100
31110112200100211
41100022221230
520334441043
62030232204
7343424440
oct120125154
943480324
1021015148
1110953aa0
127055664
13447a4cb
142b10820
151ca1a9d
hex140aa6c

21015148 has 72 divisors (see below), whose sum is σ = 48045312. Its totient is φ = 7812000.

The previous prime is 21015143. The next prime is 21015161. The reversal of 21015148 is 84151012.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21015143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 295953 + ... + 296023.

It is an arithmetic number, because the mean of its divisors is an integer number (667296).

Almost surely, 221015148 is an apocalyptic number.

21015148 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 21015148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24022656).

21015148 is an abundant number, since it is smaller than the sum of its proper divisors (27030164).

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

21015148 is a wasteful number, since it uses less digits than its factorization.

21015148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 22.

The square root of 21015148 is about 4584.2281793122. The cubic root of 21015148 is about 275.9587384933.

The spelling of 21015148 in words is "twenty-one million, fifteen thousand, one hundred forty-eight".

Divisors: 1 2 4 7 11 14 22 28 31 44 62 71 77 124 142 154 217 284 308 341 434 497 682 781 868 961 994 1364 1562 1922 1988 2201 2387 3124 3844 4402 4774 5467 6727 8804 9548 10571 10934 13454 15407 21142 21868 24211 26908 30814 42284 48422 61628 68231 73997 96844 136462 147994 169477 272924 295988 338954 477617 677908 750541 955234 1501082 1910468 3002164 5253787 10507574 21015148