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23949240 = 2335724073
BaseRepresentation
bin101101101011…
…0111110111000
31200001202011220
41123112332320
522112333430
62213152040
7410364600
oct133267670
950052156
1023949240
1112578467
12802b620
134c66b63
143275c00
152181110
hex16d6fb8

23949240 has 96 divisors (see below), whose sum is σ = 83598480. Its totient is φ = 5472768.

The previous prime is 23949229. The next prime is 23949241. The reversal of 23949240 is 4294932.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23949241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3844 + ... + 7916.

Almost surely, 223949240 is an apocalyptic number.

23949240 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 23949240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41799240).

23949240 is an abundant number, since it is smaller than the sum of its proper divisors (59649240).

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

23949240 is a wasteful number, since it uses less digits than its factorization.

23949240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4101 (or 4090 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 23949240 is about 4893.7960725801. The cubic root of 23949240 is about 288.2464133366.

The spelling of 23949240 in words is "twenty-three million, nine hundred forty-nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1960 2940 4073 5880 8146 12219 16292 20365 24438 28511 32584 40730 48876 57022 61095 81460 85533 97752 114044 122190 142555 162920 171066 199577 228088 244380 285110 342132 399154 427665 488760 570220 598731 684264 798308 855330 997885 1140440 1197462 1596616 1710660 1995770 2394924 2993655 3421320 3991540 4789848 5987310 7983080 11974620 23949240