Search a number
-
+
1452200100 = 2235213228643
BaseRepresentation
bin101011010001110…
…1101000010100100
310202012120102000220
41112203231002210
510433230400400
6400033404340
750662332351
oct12643550244
93665512026
101452200100
1168580247a
123464096b0
131a1b27400
14dac1d628
15877567a0
hex568ed0a4

1452200100 has 108 divisors (see below), whose sum is σ = 4549927536. Its totient is φ = 357452160.

The previous prime is 1452200083. The next prime is 1452200149. The reversal of 1452200100 is 10022541.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1452200100.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36379 + ... + 65021.

Almost surely, 21452200100 is an apocalyptic number.

1452200100 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 1452200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2274963768).

1452200100 is an abundant number, since it is smaller than the sum of its proper divisors (3097727436).

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

1452200100 is a wasteful number, since it uses less digits than its factorization.

1452200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28686 (or 28666 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 1452200100 is about 38107.7433076271. The cubic root of 1452200100 is about 1132.4233631849.

Adding to 1452200100 its reverse (10022541), we get a palindrome (1462222641).

The spelling of 1452200100 in words is "one billion, four hundred fifty-two million, two hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 169 195 260 300 325 338 390 507 650 676 780 845 975 1014 1300 1690 1950 2028 2535 3380 3900 4225 5070 8450 10140 12675 16900 25350 28643 50700 57286 85929 114572 143215 171858 286430 343716 372359 429645 572860 716075 744718 859290 1117077 1432150 1489436 1718580 1861795 2148225 2234154 2864300 3723590 4296450 4468308 4840667 5585385 7447180 8592900 9308975 9681334 11170770 14522001 18617950 19362668 22341540 24203335 27926925 29044002 37235900 48406670 55853850 58088004 72610005 96813340 111707700 121016675 145220010 242033350 290440020 363050025 484066700 726100050 1452200100