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23101920 = 2532561263
BaseRepresentation
bin101100000100…
…0000111100000
31121110200212200
41120020013200
521403230140
62143053200
7400235352
oct130100740
947420780
1023101920
11120498a6
1278a1200
134a2b29a
1430d50d2
152065030
hex16081e0

23101920 has 144 divisors (see below), whose sum is σ = 80432352. Its totient is φ = 6036480.

The previous prime is 23101889. The next prime is 23101921. The reversal of 23101920 is 2910132.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 23101893 and 23101902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23101921) 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, 87709 + ... + 87971.

It is an arithmetic number, because the mean of its divisors is an integer number (558558).

Almost surely, 223101920 is an apocalyptic number.

23101920 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 23101920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40216176).

23101920 is an abundant number, since it is smaller than the sum of its proper divisors (57330432).

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

23101920 is a wasteful number, since it uses less digits than its factorization.

23101920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 23101920 is about 4806.4456722198. The cubic root of 23101920 is about 284.8061470289.

The spelling of 23101920 in words is "twenty-three million, one hundred one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 61 72 80 90 96 120 122 144 160 180 183 240 244 263 288 305 360 366 480 488 526 549 610 720 732 789 915 976 1052 1098 1220 1315 1440 1464 1578 1830 1952 2104 2196 2367 2440 2630 2745 2928 3156 3660 3945 4208 4392 4734 4880 5260 5490 5856 6312 7320 7890 8416 8784 9468 9760 10520 10980 11835 12624 14640 15780 16043 17568 18936 21040 21960 23670 25248 29280 31560 32086 37872 42080 43920 47340 48129 63120 64172 75744 80215 87840 94680 96258 126240 128344 144387 160430 189360 192516 240645 256688 288774 320860 378720 385032 481290 513376 577548 641720 721935 770064 962580 1155096 1283440 1443870 1540128 1925160 2310192 2566880 2887740 3850320 4620384 5775480 7700640 11550960 23101920