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23134720 = 29571291
BaseRepresentation
bin101100001000…
…0001000000000
31121112100212111
41120100020000
521410302340
62143505104
7400433110
oct130201000
947470774
1023134720
1112071504
1278b8194
134a401ab
143103040
15206eaea
hex1610200

23134720 has 80 divisors (see below), whose sum is σ = 63442368. Its totient is φ = 7925760.

The previous prime is 23134703. The next prime is 23134729. The reversal of 23134720 is 2743132.

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

It is a junction number, because it is equal to n+sod(n) for n = 23134691 and 23134700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23134729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17275 + ... + 18565.

Almost surely, 223134720 is an apocalyptic number.

23134720 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 23134720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31721184).

23134720 is an abundant number, since it is smaller than the sum of its proper divisors (40307648).

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

23134720 is an equidigital number, since it uses as much as digits as its factorization.

23134720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1305 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 22.

The square root of 23134720 is about 4809.8565467174. The cubic root of 23134720 is about 284.9408721085.

Adding to 23134720 its reverse (2743132), we get a palindrome (25877852).

The spelling of 23134720 in words is "twenty-three million, one hundred thirty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1120 1280 1291 1792 2240 2560 2582 3584 4480 5164 6455 8960 9037 10328 12910 17920 18074 20656 25820 36148 41312 45185 51640 72296 82624 90370 103280 144592 165248 180740 206560 289184 330496 361480 413120 578368 660992 722960 826240 1156736 1445920 1652480 2313472 2891840 3304960 4626944 5783680 11567360 23134720