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23412030460 = 22572133749667
BaseRepresentation
bin10101110011011101…
…110011101111111100
32020102121212101010021
4111303131303233330
5340421434433320
614431053021524
71456112655400
oct256335635774
966377771107
1023412030460
119a24532005
1246547848a4
132291553580
1411c1505100
1592059cdaa
hex573773bfc

23412030460 has 144 divisors (see below), whose sum is σ = 63257562144. Its totient is φ = 7209119232.

The previous prime is 23412030457. The next prime is 23412030469. The reversal of 23412030460 is 6403021432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23412030469) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 446547 + ... + 496213.

It is an arithmetic number, because the mean of its divisors is an integer number (439288626).

Almost surely, 223412030460 is an apocalyptic number.

23412030460 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 23412030460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31628781072).

23412030460 is an abundant number, since it is smaller than the sum of its proper divisors (39845531684).

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

23412030460 is a wasteful number, since it uses less digits than its factorization.

23412030460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49740 (or 49731 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 23412030460 its reverse (6403021432), we get a palindrome (29815051892).

The spelling of 23412030460 in words is "twenty-three billion, four hundred twelve million, thirty thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 37 49 52 65 70 74 91 98 130 140 148 182 185 196 245 259 260 364 370 455 481 490 518 637 740 910 962 980 1036 1274 1295 1813 1820 1924 2405 2548 2590 3185 3367 3626 4810 5180 6370 6734 7252 9065 9620 12740 13468 16835 18130 23569 33670 36260 47138 49667 67340 94276 99334 117845 198668 235690 248335 347669 471380 496670 645671 695338 993340 1291342 1390676 1738345 1837679 2433683 2582684 3228355 3476690 3675358 4519697 4867366 6456710 6953380 7350716 9039394 9188395 9734732 12168415 12863753 12913420 18078788 18376790 22598485 23889827 24336830 25727506 31637879 36753580 45196970 47779654 48673660 51455012 63275758 64318765 90046271 90393940 95559308 119449135 126551516 128637530 158189395 167228789 180092542 238898270 257275060 316378790 334457578 360185084 450231355 477796540 632757580 668915156 836143945 900462710 1170601523 1672287890 1800925420 2341203046 3344575780 4682406092 5853007615 11706015230 23412030460