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23670640 = 245743983
BaseRepresentation
bin101101001001…
…0111101110000
31122112121000101
41122102331300
522024430030
62203202144
7405124420
oct132227560
948477011
1023670640
11123a8114
127b16354
134b9a0c6
143202480
1521287ca
hex1692f70

23670640 has 80 divisors (see below), whose sum is σ = 64424448. Its totient is φ = 7918848.

The previous prime is 23670617. The next prime is 23670659. The reversal of 23670640 is 4607632.

23670640 is a nontrivial binomial coefficient, being equal to C(6881, 2).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 23670599 and 23670608.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 23589 + ... + 24571.

Almost surely, 223670640 is an apocalyptic number.

23670640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

23670640 is the 6880-th triangular number.

23670640 is the 2294-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23670640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32212224).

23670640 is an abundant number, since it is smaller than the sum of its proper divisors (40753808).

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

23670640 is a wasteful number, since it uses less digits than its factorization.

23670640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 23670640 is about 4865.2481951078. The cubic root of 23670640 is about 287.1243335398.

It can be divided in two parts, 23670 and 640, that added together give a triangular number (24310 = T220).

The spelling of 23670640 in words is "twenty-three million, six hundred seventy thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 43 56 70 80 86 112 140 172 215 280 301 344 430 560 602 688 860 983 1204 1505 1720 1966 2408 3010 3440 3932 4816 4915 6020 6881 7864 9830 12040 13762 15728 19660 24080 27524 34405 39320 42269 55048 68810 78640 84538 110096 137620 169076 211345 275240 295883 338152 422690 550480 591766 676304 845380 1183532 1479415 1690760 2367064 2958830 3381520 4734128 5917660 11835320 23670640