Search a number
-
+
23936340 = 22351731757
BaseRepresentation
bin101101101001…
…1110101010100
31200001002111010
41123103311110
522111430330
62213012220
7410312151
oct133236524
950032433
1023936340
11125697aa
128024070
134c6101c
143271228
15217c3b0
hex16d3d54

23936340 has 96 divisors (see below), whose sum is σ = 73350144. Its totient is φ = 5806080.

The previous prime is 23936329. The next prime is 23936383. The reversal of 23936340 is 4363932.

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 = 23936298 and 23936307.

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, 31242 + ... + 31998.

It is an arithmetic number, because the mean of its divisors is an integer number (764064).

Almost surely, 223936340 is an apocalyptic number.

23936340 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 23936340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36675072).

23936340 is an abundant number, since it is smaller than the sum of its proper divisors (49413804).

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

23936340 is a wasteful number, since it uses less digits than its factorization.

23936340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 30.

The square root of 23936340 is about 4892.4778997968. The cubic root of 23936340 is about 288.1946504337.

The spelling of 23936340 in words is "twenty-three million, nine hundred thirty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 31 34 51 60 62 68 85 93 102 124 155 170 186 204 255 310 340 372 465 510 527 620 757 930 1020 1054 1514 1581 1860 2108 2271 2635 3028 3162 3785 4542 5270 6324 7570 7905 9084 10540 11355 12869 15140 15810 22710 23467 25738 31620 38607 45420 46934 51476 64345 70401 77214 93868 117335 128690 140802 154428 193035 234670 257380 281604 352005 386070 398939 469340 704010 772140 797878 1196817 1408020 1595756 1994695 2393634 3989390 4787268 5984085 7978780 11968170 23936340