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23077320 = 2335783331
BaseRepresentation
bin101100000001…
…0000111001000
31121102110010120
41120002013020
521401433240
62142343240
7400103550
oct130020710
947373116
1023077320
1112032372
12788ab20
134a20026
1430ca160
15205cad0
hex16021c8

23077320 has 128 divisors (see below), whose sum is σ = 80317440. Its totient is φ = 5195520.

The previous prime is 23077277. The next prime is 23077333. The reversal of 23077320 is 2377032.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69555 + ... + 69885.

It is an arithmetic number, because the mean of its divisors is an integer number (627480).

Almost surely, 223077320 is an apocalyptic number.

23077320 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 23077320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40158720).

23077320 is an abundant number, since it is smaller than the sum of its proper divisors (57240120).

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

23077320 is a wasteful number, since it uses less digits than its factorization.

23077320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 24.

The square root of 23077320 is about 4803.8859270387. The cubic root of 23077320 is about 284.7050195101.

The spelling of 23077320 in words is "twenty-three million, seventy-seven thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 83 84 105 120 140 166 168 210 249 280 331 332 415 420 498 581 662 664 830 840 993 996 1162 1245 1324 1655 1660 1743 1986 1992 2317 2324 2490 2648 2905 3310 3320 3486 3972 4634 4648 4965 4980 5810 6620 6951 6972 7944 8715 9268 9930 9960 11585 11620 13240 13902 13944 17430 18536 19860 23170 23240 27473 27804 34755 34860 39720 46340 54946 55608 69510 69720 82419 92680 109892 137365 139020 164838 192311 219784 274730 278040 329676 384622 412095 549460 576933 659352 769244 824190 961555 1098920 1153866 1538488 1648380 1923110 2307732 2884665 3296760 3846220 4615464 5769330 7692440 11538660 23077320