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21906240 = 2635191201
BaseRepresentation
bin101001110010…
…0001101000000
31112012221201020
41103210031000
521101444430
62101305440
7354125406
oct123441500
945187636
1021906240
1111402534
127405280
1346ccc95
142ca3476
151dcab10
hex14e4340

21906240 has 112 divisors (see below), whose sum is σ = 73273920. Its totient is φ = 5529600.

The previous prime is 21906233. The next prime is 21906263. The reversal of 21906240 is 4260912.

It is a hoax number, since the sum of its digits (24) 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 (24).

It is a self number, because there is not a number n which added to its sum of digits gives 21906240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17640 + ... + 18840.

Almost surely, 221906240 is an apocalyptic number.

21906240 is a gapful number since it is divisible by the number (20) 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 21906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36636960).

21906240 is an abundant number, since it is smaller than the sum of its proper divisors (51367680).

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

21906240 is a wasteful number, since it uses less digits than its factorization.

21906240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1240 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 21906240 is about 4680.4102384300. The cubic root of 21906240 is about 279.8053068317.

The spelling of 21906240 in words is "twenty-one million, nine hundred six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 152 160 190 192 228 240 285 304 320 380 456 480 570 608 760 912 960 1140 1201 1216 1520 1824 2280 2402 3040 3603 3648 4560 4804 6005 6080 7206 9120 9608 12010 14412 18015 18240 19216 22819 24020 28824 36030 38432 45638 48040 57648 68457 72060 76864 91276 96080 114095 115296 136914 144120 182552 192160 228190 230592 273828 288240 342285 365104 384320 456380 547656 576480 684570 730208 912760 1095312 1152960 1369140 1460416 1825520 2190624 2738280 3651040 4381248 5476560 7302080 10953120 21906240