Search a number
-
+
1030252520 = 2351197101239
BaseRepresentation
bin111101011010000…
…110011111101000
32122210121020202202
4331122012133220
54102221040040
6250121515332
734350000443
oct7532063750
92583536682
101030252520
11489606a70
12249042b48
131355a009b
149ab8465a
15606aa015
hex3d6867e8

1030252520 has 128 divisors (see below), whose sum is σ = 2590963200. Its totient is φ = 365568000.

The previous prime is 1030252511. The next prime is 1030252583. The reversal of 1030252520 is 252520301.

It is a super-2 number, since 2×10302525202 = 2122840509932700800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1030252492 and 1030252501.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4310561 + ... + 4310799.

It is an arithmetic number, because the mean of its divisors is an integer number (20241900).

Almost surely, 21030252520 is an apocalyptic number.

1030252520 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 1030252520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1295481600).

1030252520 is an abundant number, since it is smaller than the sum of its proper divisors (1560710680).

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

1030252520 is a wasteful number, since it uses less digits than its factorization.

1030252520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 1030252520 is about 32097.5469467684. The cubic root of 1030252520 is about 1009.9841581674.

Adding to 1030252520 its reverse (252520301), we get a palindrome (1282772821).

The spelling of 1030252520 in words is "one billion, thirty million, two hundred fifty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 97 101 110 194 202 220 239 388 404 440 478 485 505 776 808 956 970 1010 1067 1111 1195 1912 1940 2020 2134 2222 2390 2629 3880 4040 4268 4444 4780 5258 5335 5555 8536 8888 9560 9797 10516 10670 11110 13145 19594 21032 21340 22220 23183 24139 26290 39188 42680 44440 46366 48278 48985 52580 78376 92732 96556 97970 105160 107767 115915 120695 185464 193112 195940 215534 231830 241390 255013 265529 391880 431068 463660 482780 510026 531058 538835 862136 927320 965560 1020052 1062116 1077670 1275065 1327645 2040104 2124232 2155340 2341483 2550130 2655290 4310680 4682966 5100260 5310580 9365932 10200520 10621160 11707415 18731864 23414830 25756313 46829660 51512626 93659320 103025252 128781565 206050504 257563130 515126260 1030252520