Search a number
-
+
1024130200 = 235223251887
BaseRepresentation
bin111101000010101…
…111110010011000
32122101002012112011
4331002233302120
54044134131300
6245342355304
734243651222
oct7502576230
92571065464
101024130200
114861051a5
12246b8bb34
13134238502
149a02d412
155ed9aeba
hex3d0afc98

1024130200 has 96 divisors (see below), whose sum is σ = 2497340160. Its totient is φ = 389840000.

The previous prime is 1024130197. The next prime is 1024130227. The reversal of 1024130200 is 20314201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1154157 + ... + 1155043.

It is an arithmetic number, because the mean of its divisors is an integer number (26013960).

Almost surely, 21024130200 is an apocalyptic number.

1024130200 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 1024130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1248670080).

1024130200 is an abundant number, since it is smaller than the sum of its proper divisors (1473209960).

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

1024130200 is a wasteful number, since it uses less digits than its factorization.

1024130200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1024130200 is about 32002.0343103372. The cubic root of 1024130200 is about 1007.9795573036.

Adding to 1024130200 its reverse (20314201), we get a palindrome (1044444401).

The spelling of 1024130200 in words is "one billion, twenty-four million, one hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 251 460 502 575 887 920 1004 1150 1255 1774 2008 2300 2510 3548 4435 4600 5020 5773 6275 7096 8870 10040 11546 12550 17740 20401 22175 23092 25100 28865 35480 40802 44350 46184 50200 57730 81604 88700 102005 115460 144325 163208 177400 204010 222637 230920 288650 408020 445274 510025 577300 816040 890548 1020050 1113185 1154600 1781096 2040100 2226370 4080200 4452740 5120651 5565925 8905480 10241302 11131850 20482604 22263700 25603255 40965208 44527400 51206510 102413020 128016275 204826040 256032550 512065100 1024130200