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23742690 = 2354197199
BaseRepresentation
bin101101010010…
…0100011100010
31122200020211220
41122210203202
522034231230
62204515510
7405544446
oct132444342
948606756
1023742690
1112447264
127b4bb96
134bc3b3a
143220826
15213ed10
hex16a48e2

23742690 has 64 divisors (see below), whose sum is σ = 59270400. Its totient is φ = 6082560.

The previous prime is 23742679. The next prime is 23742709. The reversal of 23742690 is 9624732.

It is a super-2 number, since 2×237426902 = 1127430656872200, which contains 22 as substring.

It is a Curzon number.

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 31 ways as a sum of consecutive naturals, for example, 119211 + ... + 119409.

It is an arithmetic number, because the mean of its divisors is an integer number (926100).

Almost surely, 223742690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23742690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29635200).

23742690 is an abundant number, since it is smaller than the sum of its proper divisors (35527710).

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

23742690 is a wasteful number, since it uses less digits than its factorization.

23742690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347.

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 23742690 is about 4872.6471245105. The cubic root of 23742690 is about 287.4153600876.

The spelling of 23742690 in words is "twenty-three million, seven hundred forty-two thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 41 82 97 123 194 199 205 246 291 398 410 485 582 597 615 970 995 1194 1230 1455 1990 2910 2985 3977 5970 7954 8159 11931 16318 19303 19885 23862 24477 38606 39770 40795 48954 57909 59655 81590 96515 115818 119310 122385 193030 244770 289545 579090 791423 1582846 2374269 3957115 4748538 7914230 11871345 23742690