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23004520 = 2357211297
BaseRepresentation
bin101011111000…
…0010101101000
31121021202021021
41113300111220
521342121040
62141022224
7366351400
oct127602550
947252237
1023004520
1111a92700
127854974
1349c5b56
1430ab800
15204624a
hex15f0568

23004520 has 144 divisors (see below), whose sum is σ = 66864420. Its totient is φ = 7096320.

The previous prime is 23004493. The next prime is 23004523. The reversal of 23004520 is 2540032.

It can be written as a sum of positive squares in 2 ways, for example, as 22791076 + 213444 = 4774^2 + 462^2 .

It is a junction number, because it is equal to n+sod(n) for n = 23004494 and 23004503.

It is not an unprimeable number, because it can be changed into a prime (23004523) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 237112 + ... + 237208.

Almost surely, 223004520 is an apocalyptic number.

23004520 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 23004520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33432210).

23004520 is an abundant number, since it is smaller than the sum of its proper divisors (43859900).

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

23004520 is a wasteful number, since it uses less digits than its factorization.

23004520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 23004520 is about 4796.3027427384. The cubic root of 23004520 is about 284.4053261544.

Adding to 23004520 its reverse (2540032), we get a palindrome (25544552).

The spelling of 23004520 in words is "twenty-three million, four thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 49 55 56 70 77 88 97 98 110 121 140 154 194 196 220 242 245 280 308 385 388 392 440 484 485 490 539 605 616 679 770 776 847 968 970 980 1067 1078 1210 1358 1540 1694 1940 1960 2134 2156 2420 2695 2716 3080 3388 3395 3880 4235 4268 4312 4753 4840 5335 5390 5432 5929 6776 6790 7469 8470 8536 9506 10670 10780 11737 11858 13580 14938 16940 19012 21340 21560 23474 23716 23765 27160 29645 29876 33880 37345 38024 42680 46948 47432 47530 52283 58685 59290 59752 74690 82159 93896 95060 104566 117370 118580 149380 164318 190120 209132 234740 237160 261415 298760 328636 410795 418264 469480 522830 575113 657272 821590 1045660 1150226 1643180 2091320 2300452 2875565 3286360 4600904 5751130 11502260 23004520