Search a number
-
+
23940720 = 2432541811
BaseRepresentation
bin101101101010…
…0111001110000
31200001022111100
41123110321300
522112100340
62213044400
7410331006
oct133247160
950038440
1023940720
1112572021
128026700
134c6300b
143272a76
15217d830
hex16d4e70

23940720 has 120 divisors (see below), whose sum is σ = 82463472. Its totient is φ = 6220800.

The previous prime is 23940659. The next prime is 23940767. The reversal of 23940720 is 2704932.

23940720 is a `hidden beast` number, since 239 + 407 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29115 + ... + 29925.

Almost surely, 223940720 is an apocalyptic number.

23940720 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 23940720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41231736).

23940720 is an abundant number, since it is smaller than the sum of its proper divisors (58522752).

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

23940720 is a wasteful number, since it uses less digits than its factorization.

23940720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 871 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 23940720 is about 4892.9255052576. The cubic root of 23940720 is about 288.2122278297.

The spelling of 23940720 in words is "twenty-three million, nine hundred forty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 41 45 48 60 72 80 82 90 120 123 144 164 180 205 240 246 328 360 369 410 492 615 656 720 738 811 820 984 1230 1476 1622 1640 1845 1968 2433 2460 2952 3244 3280 3690 4055 4866 4920 5904 6488 7299 7380 8110 9732 9840 12165 12976 14598 14760 16220 19464 24330 29196 29520 32440 33251 36495 38928 48660 58392 64880 66502 72990 97320 99753 116784 133004 145980 166255 194640 199506 266008 291960 299259 332510 399012 498765 532016 583920 598518 665020 798024 997530 1197036 1330040 1496295 1596048 1995060 2394072 2660080 2992590 3990120 4788144 5985180 7980240 11970360 23940720