Search a number
-
+
104260033530 = 23252943192683
BaseRepresentation
bin110000100011001100…
…0011101101111111010
3100222010001122110122100
41201012120131233322
53202011032033110
6115521342204230
710350442443222
oct1410630355772
9328101573570
10104260033530
1140242086374
1218258583676
139aa7277743
145090b43082
152aa3226bc0
hex184661dbfa

104260033530 has 96 divisors (see below), whose sum is σ = 281077205760. Its totient is φ = 26781390720.

The previous prime is 104260033519. The next prime is 104260033531. The reversal of 104260033530 is 35330062401.

It is a happy number.

104260033530 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 600 + 3 + 3 + 53 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 104260033494 and 104260033503.

It is not an unprimeable number, because it can be changed into a prime (104260033531) 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, 1078569 + ... + 1171251.

It is an arithmetic number, because the mean of its divisors is an integer number (2927887560).

Almost surely, 2104260033530 is an apocalyptic number.

104260033530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 104260033530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140538602880).

104260033530 is an abundant number, since it is smaller than the sum of its proper divisors (176817172230).

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

104260033530 is a wasteful number, since it uses less digits than its factorization.

104260033530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93156 (or 93153 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 104260033530 its reverse (35330062401), we get a palindrome (139590095931).

The spelling of 104260033530 in words is "one hundred four billion, two hundred sixty million, thirty-three thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 431 435 522 862 870 1293 1305 2155 2586 2610 3879 4310 6465 7758 12499 12930 19395 24998 37497 38790 62495 74994 92683 112491 124990 185366 187485 224982 278049 374970 463415 556098 562455 834147 926830 1124910 1390245 1668294 2687807 2780490 4170735 5375614 8063421 8341470 13439035 16126842 24190263 26878070 39946373 40317105 48380526 79892746 80634210 119839119 120951315 199731865 239678238 241902630 359517357 399463730 599195595 719034714 1158444817 1198391190 1797586785 2316889634 3475334451 3595173570 5792224085 6950668902 10426003353 11584448170 17376672255 20852006706 34753344510 52130016765 104260033530