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23690940 = 22357134339
BaseRepresentation
bin101101001011…
…1111010111100
31122120121212020
41122113322330
522031102230
62203440140
7405240540
oct132277274
948517766
1023690940
1112411399
127b26050
134ba6410
143209a20
15212e810
hex1697ebc

23690940 has 96 divisors (see below), whose sum is σ = 81661440. Its totient is φ = 4997376.

The previous prime is 23690923. The next prime is 23690959. The reversal of 23690940 is 4909632.

It is a super-2 number, since 2×236909402 = 1122521276167200, which contains 22 as substring.

It is a congruent number.

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, 3291 + ... + 7629.

It is an arithmetic number, because the mean of its divisors is an integer number (850640).

Almost surely, 223690940 is an apocalyptic number.

23690940 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 23690940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40830720).

23690940 is an abundant number, since it is smaller than the sum of its proper divisors (57970500).

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

23690940 is a wasteful number, since it uses less digits than its factorization.

23690940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4371 (or 4369 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The square root of 23690940 is about 4867.3339725151. Note that the first 3 decimals coincide. The cubic root of 23690940 is about 287.2063896024.

The spelling of 23690940 in words is "twenty-three million, six hundred ninety thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 780 910 1092 1365 1820 2730 4339 5460 8678 13017 17356 21695 26034 30373 43390 52068 56407 60746 65085 86780 91119 112814 121492 130170 151865 169221 182238 225628 260340 282035 303730 338442 364476 394849 455595 564070 607460 676884 789698 846105 911190 1128140 1184547 1579396 1692210 1822380 1974245 2369094 3384420 3948490 4738188 5922735 7896980 11845470 23690940