Search a number
-
+
23392380 = 22351123267
BaseRepresentation
bin101100100111…
…1000001111100
31122000110022110
41121033001330
521442024010
62153214020
7402555234
oct131170174
948013273
1023392380
1112228050
127a01310
134b0055b
14316ccc4
1520c1120
hex164f07c

23392380 has 144 divisors (see below), whose sum is σ = 75809664. Its totient is φ = 5343360.

The previous prime is 23392367. The next prime is 23392393. The reversal of 23392380 is 8329332.

It is an interprime number because it is at equal distance from previous prime (23392367) and next prime (23392393).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 349107 + ... + 349173.

It is an arithmetic number, because the mean of its divisors is an integer number (526456).

Almost surely, 223392380 is an apocalyptic number.

23392380 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 23392380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37904832).

23392380 is an abundant number, since it is smaller than the sum of its proper divisors (52417284).

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

23392380 is a wasteful number, since it uses less digits than its factorization.

23392380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 23392380 is about 4836.5669642837. The cubic root of 23392380 is about 285.9947999772.

The spelling of 23392380 in words is "twenty-three million, three hundred ninety-two thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 30 33 44 46 55 60 66 67 69 92 110 115 132 134 138 165 201 220 230 253 268 276 330 335 345 402 460 506 529 660 670 690 737 759 804 1005 1012 1058 1265 1340 1380 1474 1518 1541 1587 2010 2116 2211 2530 2645 2948 3036 3082 3174 3685 3795 4020 4422 4623 5060 5290 5819 6164 6348 7370 7590 7705 7935 8844 9246 10580 11055 11638 14740 15180 15410 15870 16951 17457 18492 22110 23115 23276 29095 30820 31740 33902 34914 35443 44220 46230 50853 58190 67804 69828 70886 84755 87285 92460 101706 106329 116380 141772 169510 174570 177215 203412 212658 254265 339020 349140 354430 389873 425316 508530 531645 708860 779746 1017060 1063290 1169619 1559492 1949365 2126580 2339238 3898730 4678476 5848095 7797460 11696190 23392380