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21146076 = 2233783337
BaseRepresentation
bin101000010101…
…0100111011100
31110210022222000
41100222213130
520403133301
62033122300
7344511240
oct120524734
943708860
1021146076
1110a333a6
1270b9390
1344c4c93
142b46420
151cca786
hex142a9dc

21146076 has 96 divisors (see below), whose sum is σ = 63598080. Its totient is φ = 5951232.

The previous prime is 21146057. The next prime is 21146101. The reversal of 21146076 is 67064112.

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

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, 62580 + ... + 62916.

It is an arithmetic number, because the mean of its divisors is an integer number (662480).

Almost surely, 221146076 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 21146076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31799040).

21146076 is an abundant number, since it is smaller than the sum of its proper divisors (42452004).

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

21146076 is a wasteful number, since it uses less digits than its factorization.

21146076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 21146076 is about 4598.4862726771. The cubic root of 21146076 is about 276.5306426390.

The spelling of 21146076 in words is "twenty-one million, one hundred forty-six thousand, seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 83 84 108 126 166 189 249 252 332 337 378 498 581 674 747 756 996 1011 1162 1348 1494 1743 2022 2241 2324 2359 2988 3033 3486 4044 4482 4718 5229 6066 6972 7077 8964 9099 9436 10458 12132 14154 15687 18198 20916 21231 27971 28308 31374 36396 42462 55942 62748 63693 83913 84924 111884 127386 167826 195797 251739 254772 335652 391594 503478 587391 755217 783188 1006956 1174782 1510434 1762173 2349564 3020868 3524346 5286519 7048692 10573038 21146076