Search a number
-
+
21740712 = 2337319139
BaseRepresentation
bin101001011101…
…1110010101000
31111220112122120
41102323302220
521031200322
62053551240
7352536000
oct122736250
944815576
1021740712
11112aa134
127345520
134672836
142c5d000
151d96a5c
hex14bbca8

21740712 has 128 divisors (see below), whose sum is σ = 67200000. Its totient is φ = 5842368.

The previous prime is 21740711. The next prime is 21740717. The reversal of 21740712 is 21704712.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (21740711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156339 + ... + 156477.

It is an arithmetic number, because the mean of its divisors is an integer number (525000).

Almost surely, 221740712 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 21740712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33600000).

21740712 is an abundant number, since it is smaller than the sum of its proper divisors (45459288).

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

21740712 is a wasteful number, since it uses less digits than its factorization.

21740712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 24.

The square root of 21740712 is about 4662.6936420914. The cubic root of 21740712 is about 279.0987690028.

The spelling of 21740712 in words is "twenty-one million, seven hundred forty thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 49 56 57 76 84 98 114 133 139 147 152 168 196 228 266 278 294 343 392 399 417 456 532 556 588 686 798 834 931 973 1029 1064 1112 1176 1372 1596 1668 1862 1946 2058 2641 2744 2793 2919 3192 3336 3724 3892 4116 5282 5586 5838 6517 6811 7448 7784 7923 8232 10564 11172 11676 13034 13622 15846 18487 19551 20433 21128 22344 23352 26068 27244 31692 36974 39102 40866 47677 52136 54488 55461 63384 73948 78204 81732 95354 110922 129409 143031 147896 156408 163464 190708 221844 258818 286062 381416 388227 443688 517636 572124 776454 905863 1035272 1144248 1552908 1811726 2717589 3105816 3623452 5435178 7246904 10870356 21740712