Search a number
-
+
104500205200 = 24521918175967
BaseRepresentation
bin110000101010010110…
…0101001011010010000
3100222201210120110020101
41201110230221122100
53203004023031300
6120001242022144
710356420042166
oct1412454513220
9328653513211
10104500205200
1140355706956
1218304aa7954
139b14c58761
1450b49c1236
152ab9368b6a
hex1854b29690

104500205200 has 120 divisors (see below), whose sum is σ = 265739102720. Its totient is φ = 39380774400.

The previous prime is 104500205171. The next prime is 104500205203. The reversal of 104500205200 is 2502005401.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (104500205203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1337617 + ... + 1413583.

Almost surely, 2104500205200 is an apocalyptic number.

104500205200 is a gapful number since it is divisible by the number (10) 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 104500205200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132869551360).

104500205200 is an abundant number, since it is smaller than the sum of its proper divisors (161238897520).

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

104500205200 is a wasteful number, since it uses less digits than its factorization.

104500205200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76185 (or 76174 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 19.

The spelling of 104500205200 in words is "one hundred four billion, five hundred million, two hundred five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 152 181 190 200 304 362 380 400 475 724 760 905 950 1448 1520 1810 1900 2896 3439 3620 3800 4525 6878 7240 7600 9050 13756 14480 17195 18100 27512 34390 36200 55024 68780 72400 75967 85975 137560 151934 171950 275120 303868 343900 379835 607736 687800 759670 1215472 1375600 1443373 1519340 1899175 2886746 3038680 3798350 5773492 6077360 7216865 7596700 11546984 13750027 14433730 15193400 23093968 27500054 28867460 30386800 36084325 55000108 57734920 68750135 72168650 110000216 115469840 137500270 144337300 220000432 261250513 275000540 288674600 343750675 522501026 550001080 577349200 687501350 1045002052 1100002160 1306252565 1375002700 2090004104 2612505130 2750005400 4180008208 5225010260 5500010800 6531262825 10450020520 13062525650 20900041040 26125051300 52250102600 104500205200