Search a number
-
+
1013432200 = 2352112771663
BaseRepresentation
bin111100011001111…
…011111110001000
32121121221200121221
4330121323332020
54033414312300
6244321211424
734054013554
oct7431737610
92547850557
101013432200
11480068680
12243490b74
13131c61031
1498846864
155de8631a
hex3c67bf88

1013432200 has 96 divisors (see below), whose sum is σ = 2581263360. Its totient is φ = 366969600.

The previous prime is 1013432149. The next prime is 1013432207. The reversal of 1013432200 is 22343101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1013432207) 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, 608569 + ... + 610231.

It is an arithmetic number, because the mean of its divisors is an integer number (26888160).

Almost surely, 21013432200 is an apocalyptic number.

1013432200 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 1013432200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1290631680).

1013432200 is an abundant number, since it is smaller than the sum of its proper divisors (1567831160).

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

1013432200 is a wasteful number, since it uses less digits than its factorization.

1013432200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1967 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 1013432200 is about 31834.4498931582. The cubic root of 1013432200 is about 1004.4575011609.

Adding to 1013432200 its reverse (22343101), we get a palindrome (1035775301).

The spelling of 1013432200 in words is "one billion, thirteen million, four hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 277 440 550 554 1100 1108 1385 1663 2200 2216 2770 3047 3326 5540 6094 6652 6925 8315 11080 12188 13304 13850 15235 16630 18293 24376 27700 30470 33260 36586 41575 55400 60940 66520 73172 76175 83150 91465 121880 146344 152350 166300 182930 304700 332600 365860 457325 460651 609400 731720 914650 921302 1829300 1842604 2303255 3658600 3685208 4606510 5067161 9213020 10134322 11516275 18426040 20268644 23032550 25335805 40537288 46065100 50671610 92130200 101343220 126679025 202686440 253358050 506716100 1013432200