Search a number
-
+
23053380 = 22357131419
BaseRepresentation
bin101011111110…
…0010001000100
31121101020021220
41113330101010
521400202010
62142040340
7366644010
oct127742104
947336256
1023053380
1112016389
1278790b0
134a1216c
1430c1540
152055970
hex15fc444

23053380 has 96 divisors (see below), whose sum is σ = 74511360. Its totient is φ = 5216640.

The previous prime is 23053369. The next prime is 23053397. The reversal of 23053380 is 8335032.

It is a self number, because there is not a number n which added to its sum of digits gives 23053380.

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, 54811 + ... + 55229.

It is an arithmetic number, because the mean of its divisors is an integer number (776160).

Almost surely, 223053380 is an apocalyptic number.

23053380 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 23053380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37255680).

23053380 is an abundant number, since it is smaller than the sum of its proper divisors (51457980).

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

23053380 is a wasteful number, since it uses less digits than its factorization.

23053380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 23053380 is about 4801.3935477109. The cubic root of 23053380 is about 284.6065361449.

The spelling of 23053380 in words is "twenty-three million, fifty-three thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 131 140 210 262 393 419 420 524 655 786 838 917 1257 1310 1572 1676 1834 1965 2095 2514 2620 2751 2933 3668 3930 4190 4585 5028 5502 5866 6285 7860 8380 8799 9170 11004 11732 12570 13755 14665 17598 18340 25140 27510 29330 35196 43995 54889 55020 58660 87990 109778 164667 175980 219556 274445 329334 384223 548890 658668 768446 823335 1097780 1152669 1536892 1646670 1921115 2305338 3293340 3842230 4610676 5763345 7684460 11526690 23053380