Search a number
-
+
1020011500 = 22535361631
BaseRepresentation
bin111100110011000…
…010001111101100
32122002022221201201
4330303002033230
54042110332000
6245114215244
734163645314
oct7463021754
92562287651
101020011500
11483851812
12245724524
13133425901
149967a444
155e83596a
hex3ccc23ec

1020011500 has 96 divisors (see below), whose sum is σ = 2310602112. Its totient is φ = 393120000.

The previous prime is 1020011497. The next prime is 1020011501. The reversal of 1020011500 is 51100201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (1020011501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1616185 + ... + 1616815.

It is an arithmetic number, because the mean of its divisors is an integer number (24068772).

Almost surely, 21020011500 is an apocalyptic number.

1020011500 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 1020011500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1155301056).

1020011500 is an abundant number, since it is smaller than the sum of its proper divisors (1290590612).

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

1020011500 is a wasteful number, since it uses less digits than its factorization.

1020011500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 764 (or 752 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 10.

The square root of 1020011500 is about 31937.6188843188. The cubic root of 1020011500 is about 1006.6264926051.

Adding to 1020011500 its reverse (51100201), we get a palindrome (1071111701).

The spelling of 1020011500 in words is "one billion, twenty million, eleven thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 53 61 100 106 122 125 212 244 250 265 305 500 530 610 631 1060 1220 1262 1325 1525 2524 2650 3050 3155 3233 5300 6100 6310 6466 6625 7625 12620 12932 13250 15250 15775 16165 26500 30500 31550 32330 33443 38491 63100 64660 66886 76982 78875 80825 133772 153964 157750 161650 167215 192455 315500 323300 334430 384910 404125 668860 769820 808250 836075 962275 1616500 1672150 1924550 2040023 3344300 3849100 4080046 4180375 4811375 8160092 8360750 9622750 10200115 16721500 19245500 20400230 40800460 51000575 102001150 204002300 255002875 510005750 1020011500