Search a number
-
+
23712720 = 2435293407
BaseRepresentation
bin101101001110…
…1001111010000
31122121201201220
41122131033100
522032301340
62204125040
7405361203
oct132351720
948551656
1023712720
1112426799
127b36780
134bb32c5
14321393a
152135ed0
hex169d3d0

23712720 has 80 divisors (see below), whose sum is σ = 76066560. Its totient is φ = 6103552.

The previous prime is 23712709. The next prime is 23712743. The reversal of 23712720 is 2721732.

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 (24).

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, 5257 + ... + 8663.

It is an arithmetic number, because the mean of its divisors is an integer number (950832).

Almost surely, 223712720 is an apocalyptic number.

23712720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23712720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38033280).

23712720 is an abundant number, since it is smaller than the sum of its proper divisors (52353840).

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

23712720 is a wasteful number, since it uses less digits than its factorization.

23712720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3452 (or 3446 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 23712720 is about 4869.5708229781. The cubic root of 23712720 is about 287.2943759692.

The spelling of 23712720 in words is "twenty-three million, seven hundred twelve thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 48 58 60 80 87 116 120 145 174 232 240 290 348 435 464 580 696 870 1160 1392 1740 2320 3407 3480 6814 6960 10221 13628 17035 20442 27256 34070 40884 51105 54512 68140 81768 98803 102210 136280 163536 197606 204420 272560 296409 395212 408840 494015 592818 790424 817680 988030 1185636 1482045 1580848 1976060 2371272 2964090 3952120 4742544 5928180 7904240 11856360 23712720