Search a number
-
+
1105235250 = 23537316791
BaseRepresentation
bin100000111100000…
…1000110100110010
32212000200202201220
41001320020310302
54230420012000
6301401005510
736250226130
oct10170106462
92760622656
101105235250
11517970669
1226a183896
13147c94872
14a6b02750
156706c1a0
hex41e08d32

1105235250 has 128 divisors (see below), whose sum is σ = 3254943744. Its totient is φ = 244440000.

The previous prime is 1105235233. The next prime is 1105235279. The reversal of 1105235250 is 525325011.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1105235250.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 159355 + ... + 166145.

It is an arithmetic number, because the mean of its divisors is an integer number (25429248).

Almost surely, 21105235250 is an apocalyptic number.

1105235250 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 1105235250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1627471872).

1105235250 is an abundant number, since it is smaller than the sum of its proper divisors (2149708494).

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

1105235250 is a wasteful number, since it uses less digits than its factorization.

1105235250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6849 (or 6839 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 1105235250 is about 33245.0785831527. The cubic root of 1105235250 is about 1033.9151741125.

The spelling of 1105235250 in words is "one billion, one hundred five million, two hundred thirty-five thousand, two hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 31 35 42 50 62 70 75 93 105 125 150 155 175 186 210 217 250 310 350 375 434 465 525 651 750 775 875 930 1050 1085 1302 1550 1750 2170 2325 2625 3255 3875 4650 5250 5425 6510 6791 7750 10850 11625 13582 16275 20373 23250 27125 32550 33955 40746 47537 54250 67910 81375 95074 101865 142611 162750 169775 203730 210521 237685 285222 339550 421042 475370 509325 631563 713055 848875 1018650 1052605 1188425 1263126 1426110 1473647 1697750 2105210 2376850 2546625 2947294 3157815 3565275 4420941 5093250 5263025 5942125 6315630 7130550 7368235 8841882 10526050 11884250 14736470 15789075 17826375 22104705 26315125 31578150 35652750 36841175 44209410 52630250 73682350 78945375 110523525 157890750 184205875 221047050 368411750 552617625 1105235250