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23134680 = 2333531691
BaseRepresentation
bin101100001000…
…0000111011000
31121112100211000
41120100013120
521410302210
62143505000
7400433022
oct130200730
947470730
1023134680
1112071478
1278b8160
134a4017a
143103012
15206eac0
hex16101d8

23134680 has 128 divisors (see below), whose sum is σ = 79718400. Its totient is φ = 5961600.

The previous prime is 23134651. The next prime is 23134681. The reversal of 23134680 is 8643132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23134681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33135 + ... + 33825.

It is an arithmetic number, because the mean of its divisors is an integer number (622800).

Almost surely, 223134680 is an apocalyptic number.

23134680 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 23134680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39859200).

23134680 is an abundant number, since it is smaller than the sum of its proper divisors (56583720).

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

23134680 is a wasteful number, since it uses less digits than its factorization.

23134680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 23134680 is about 4809.8523885874. The cubic root of 23134680 is about 284.9407078872.

The spelling of 23134680 in words is "twenty-three million, one hundred thirty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 31 36 40 45 54 60 62 72 90 93 108 120 124 135 155 180 186 216 248 270 279 310 360 372 465 540 558 620 691 744 837 930 1080 1116 1240 1382 1395 1674 1860 2073 2232 2764 2790 3348 3455 3720 4146 4185 5528 5580 6219 6696 6910 8292 8370 10365 11160 12438 13820 16584 16740 18657 20730 21421 24876 27640 31095 33480 37314 41460 42842 49752 62190 64263 74628 82920 85684 93285 107105 124380 128526 149256 171368 186570 192789 214210 248760 257052 321315 373140 385578 428420 514104 578367 642630 746280 771156 856840 963945 1156734 1285260 1542312 1927890 2313468 2570520 2891835 3855780 4626936 5783670 7711560 11567340 23134680