Search a number
-
+
21935088 = 2432747463
BaseRepresentation
bin101001110101…
…1001111110000
31112021102021200
41103223033300
521103410323
62102051200
7354305460
oct123531760
945242250
1021935088
111142217a
127419b00
134710156
142cadba0
151dd4443
hex14eb3f0

21935088 has 120 divisors (see below), whose sum is σ = 71804928. Its totient is φ = 6120576.

The previous prime is 21935071. The next prime is 21935119. The reversal of 21935088 is 88053912.

It is a super-2 number, since 2×219350882 = 962296171135488, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47145 + ... + 47607.

Almost surely, 221935088 is an apocalyptic number.

21935088 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 21935088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35902464).

21935088 is an abundant number, since it is smaller than the sum of its proper divisors (49869840).

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

21935088 is a wasteful number, since it uses less digits than its factorization.

21935088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 21935088 is about 4683.4910056495. The cubic root of 21935088 is about 279.9280767648.

The spelling of 21935088 in words is "twenty-one million, nine hundred thirty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 47 48 56 63 72 84 94 112 126 141 144 168 188 252 282 329 336 376 423 463 504 564 658 752 846 926 987 1008 1128 1316 1389 1692 1852 1974 2256 2632 2778 2961 3241 3384 3704 3948 4167 5264 5556 5922 6482 6768 7408 7896 8334 9723 11112 11844 12964 15792 16668 19446 21761 22224 23688 25928 29169 33336 38892 43522 47376 51856 58338 65283 66672 77784 87044 116676 130566 152327 155568 174088 195849 233352 261132 304654 348176 391698 456981 466704 522264 609308 783396 913962 1044528 1218616 1370943 1566792 1827924 2437232 2741886 3133584 3655848 5483772 7311696 10967544 21935088