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23676240 = 2435717829
BaseRepresentation
bin101101001010…
…0010101010000
31122112212200210
41122110111100
522030114430
62203244120
7405146640
oct132242520
948485623
1023676240
1112401345
127b19640
134b9c813
143204520
15212a2b0
hex1694550

23676240 has 160 divisors (see below), whose sum is σ = 88922880. Its totient is φ = 5087232.

The previous prime is 23676227. The next prime is 23676241. The reversal of 23676240 is 4267632.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 23676198 and 23676207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23676241) 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, 28146 + ... + 28974.

It is an arithmetic number, because the mean of its divisors is an integer number (555768).

Almost surely, 223676240 is an apocalyptic number.

23676240 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 23676240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44461440).

23676240 is an abundant number, since it is smaller than the sum of its proper divisors (65246640).

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

23676240 is a wasteful number, since it uses less digits than its factorization.

23676240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 23676240 is about 4865.8236712812. The cubic root of 23676240 is about 287.1469743794.

The spelling of 23676240 in words is "twenty-three million, six hundred seventy-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 17 20 21 24 28 30 34 35 40 42 48 51 56 60 68 70 80 84 85 102 105 112 119 120 136 140 168 170 204 210 238 240 255 272 280 336 340 357 408 420 476 510 560 595 680 714 816 829 840 952 1020 1190 1360 1428 1658 1680 1785 1904 2040 2380 2487 2856 3316 3570 4080 4145 4760 4974 5712 5803 6632 7140 8290 9520 9948 11606 12435 13264 14093 14280 16580 17409 19896 23212 24870 28186 28560 29015 33160 34818 39792 42279 46424 49740 56372 58030 66320 69636 70465 84558 87045 92848 98651 99480 112744 116060 139272 140930 169116 174090 197302 198960 211395 225488 232120 278544 281860 295953 338232 348180 394604 422790 464240 493255 563720 591906 676464 696360 789208 845580 986510 1127440 1183812 1392720 1479765 1578416 1691160 1973020 2367624 2959530 3382320 3946040 4735248 5919060 7892080 11838120 23676240