Search a number
-
+
1030402000 = 24531015101
BaseRepresentation
bin111101011010101…
…010111111010000
32122210212211211001
4331122222333100
54102240331000
6250125031344
734351162315
oct7532527720
92583784731
101030402000
114896a9301
122490b5554
13135623134
149abc2d0c
15606d946a
hex3d6aafd0

1030402000 has 80 divisors (see below), whose sum is σ = 2516673744. Its totient is φ = 408000000.

The previous prime is 1030401989. The next prime is 1030402027. The reversal of 1030402000 is 2040301.

1030402000 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 422878096 + 607523904 = 20564^2 + 24648^2 .

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 199450 + ... + 204550.

Almost surely, 21030402000 is an apocalyptic number.

1030402000 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 1030402000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258336872).

1030402000 is an abundant number, since it is smaller than the sum of its proper divisors (1486271744).

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

1030402000 is a wasteful number, since it uses less digits than its factorization.

1030402000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5225 (or 5209 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 1030402000 is about 32099.8753891662. The cubic root of 1030402000 is about 1010.0330022220.

Adding to 1030402000 its reverse (2040301), we get a palindrome (1032442301).

The spelling of 1030402000 in words is "one billion, thirty million, four hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 101 125 200 202 250 400 404 500 505 808 1000 1010 1616 2000 2020 2525 4040 5050 5101 8080 10100 10202 12625 20200 20404 25250 25505 40400 40808 50500 51010 81616 101000 102020 127525 202000 204040 255050 408080 510100 515201 637625 1020200 1030402 1275250 2040400 2060804 2550500 2576005 4121608 5101000 5152010 8243216 10202000 10304020 12880025 20608040 25760050 41216080 51520100 64400125 103040200 128800250 206080400 257600500 515201000 1030402000