Search a number
-
+
23729706 = 23371113439
BaseRepresentation
bin101101010000…
…1011000101010
31122122121001000
41122201120222
522033322311
62204335430
7405461550
oct132413052
948577030
1023729706
1112438530
127b44576
134bbac60
143219bd0
15213b056
hex16a162a

23729706 has 128 divisors (see below), whose sum is σ = 70963200. Its totient is φ = 5676480.

The previous prime is 23729687. The next prime is 23729729. The reversal of 23729706 is 60792732.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53835 + ... + 54273.

It is an arithmetic number, because the mean of its divisors is an integer number (554400).

Almost surely, 223729706 is an apocalyptic number.

23729706 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 23729706, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35481600).

23729706 is an abundant number, since it is smaller than the sum of its proper divisors (47233494).

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

23729706 is a wasteful number, since it uses less digits than its factorization.

23729706 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 23729706 is about 4871.3146069619. The cubic root of 23729706 is about 287.3629582536.

The spelling of 23729706 in words is "twenty-three million, seven hundred twenty-nine thousand, seven hundred six".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 27 33 39 42 54 63 66 77 78 91 99 117 126 143 154 182 189 198 231 234 273 286 297 351 378 429 439 462 546 594 693 702 819 858 878 1001 1287 1317 1386 1638 2002 2079 2457 2574 2634 3003 3073 3861 3951 4158 4829 4914 5707 6006 6146 7722 7902 9009 9219 9658 11414 11853 14487 17121 18018 18438 23706 27027 27657 28974 33803 34242 39949 43461 51363 54054 55314 62777 67606 79898 82971 86922 101409 102726 119847 125554 130383 154089 165942 188331 202818 239694 260766 304227 308178 359541 376662 439439 564993 608454 719082 878878 912681 1078623 1129986 1318317 1694979 1825362 2157246 2636634 3389958 3954951 7909902 11864853 23729706