Search a number
-
+
15040432530 = 23251074333607
BaseRepresentation
bin11100000000111101…
…01100100110010010
31102211012020010200200
432000132230212102
5221300322320110
610524240400030
71041500365344
oct160036544622
942735203620
1015040432530
116418a28632
122ab9016016
131559034726
14a2974b294
155d064e6c0
hex3807ac992

15040432530 has 96 divisors (see below), whose sum is σ = 39572717184. Its totient is φ = 3963022848.

The previous prime is 15040432507. The next prime is 15040432571. The reversal of 15040432530 is 3523404051.

15040432530 is a `hidden beast` number, since 1 + 5 + 0 + 404 + 3 + 253 + 0 = 666.

It is a super-2 number, since 2×150404325302 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 15040432494 and 15040432503.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4167987 + ... + 4171593.

It is an arithmetic number, because the mean of its divisors is an integer number (412215804).

Almost surely, 215040432530 is an apocalyptic number.

15040432530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 15040432530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19786358592).

15040432530 is an abundant number, since it is smaller than the sum of its proper divisors (24532284654).

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

15040432530 is a wasteful number, since it uses less digits than its factorization.

15040432530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4160 (or 4157 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 15040432530 its reverse (3523404051), we get a palindrome (18563836581).

The spelling of 15040432530 in words is "fifteen billion, forty million, four hundred thirty-two thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 107 214 321 433 535 642 866 963 1070 1299 1605 1926 2165 2598 3210 3607 3897 4330 4815 6495 7214 7794 9630 10821 12990 18035 19485 21642 32463 36070 38970 46331 54105 64926 92662 108210 138993 162315 231655 277986 324630 385949 416979 463310 694965 771898 833958 1157847 1389930 1561831 1929745 2084895 2315694 3123662 3473541 3859490 4169790 4685493 5789235 6947082 7809155 9370986 11578470 14056479 15618310 17367705 23427465 28112958 34735410 46854930 70282395 140564790 167115917 334231834 501347751 835579585 1002695502 1504043253 1671159170 2506738755 3008086506 5013477510 7520216265 15040432530