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21968370 = 23251929443
BaseRepresentation
bin101001111001…
…1010111110010
31112100002221100
41103303113302
521110441440
62102505230
7354504504
oct123632762
945302840
1021968370
1111445186
127435216
134722348
142cbbd74
151dde230
hex14f35f2

21968370 has 96 divisors (see below), whose sum is σ = 62337600. Its totient is φ = 5346432.

The previous prime is 21968363. The next prime is 21968371. The reversal of 21968370 is 7386912.

It is not an unprimeable number, because it can be changed into a prime (21968371) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49369 + ... + 49811.

It is an arithmetic number, because the mean of its divisors is an integer number (649350).

Almost surely, 221968370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21968370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31168800).

21968370 is an abundant number, since it is smaller than the sum of its proper divisors (40369230).

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

21968370 is a wasteful number, since it uses less digits than its factorization.

21968370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 21968370 is about 4687.0427777011. The cubic root of 21968370 is about 280.0695830466.

The spelling of 21968370 in words is "twenty-one million, nine hundred sixty-eight thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 19 29 30 38 45 57 58 87 90 95 114 145 171 174 190 261 285 290 342 435 443 522 551 570 855 870 886 1102 1305 1329 1653 1710 2215 2610 2658 2755 3306 3987 4430 4959 5510 6645 7974 8265 8417 9918 12847 13290 16530 16834 19935 24795 25251 25694 38541 39870 42085 49590 50502 64235 75753 77082 84170 115623 126255 128470 151506 192705 231246 244093 252510 378765 385410 488186 578115 732279 757530 1156230 1220465 1464558 2196837 2440930 3661395 4393674 7322790 10984185 21968370