Search a number
-
+
3530156040 = 2333510132363
BaseRepresentation
bin1101001001101001…
…1110100000001000
3100010000121111201000
43102122132200020
524212204443130
61342143255000
7153323555055
oct32232364010
910100544630
103530156040
111551754534
128262aa460
13443497638
14256bac02c
15159db7260
hexd269e808

3530156040 has 128 divisors (see below), whose sum is σ = 11884060800. Its totient is φ = 932025600.

The previous prime is 3530156023. The next prime is 3530156059. The reversal of 3530156040 is 406510353.

3530156040 is a `hidden beast` number, since 3 + 53 + 0 + 1 + 5 + 604 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3530155995 and 3530156013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92899 + ... + 125261.

It is an arithmetic number, because the mean of its divisors is an integer number (92844225).

Almost surely, 23530156040 is an apocalyptic number.

3530156040 is a gapful number since it is divisible by the number (30) 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 3530156040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5942030400).

3530156040 is an abundant number, since it is smaller than the sum of its proper divisors (8353904760).

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

3530156040 is a wasteful number, since it uses less digits than its factorization.

3530156040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32484 (or 32474 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 3530156040 is about 59415.1162584068. The cubic root of 3530156040 is about 1522.6425695800.

Adding to 3530156040 its reverse (406510353), we get a palindrome (3936666393).

The spelling of 3530156040 in words is "three billion, five hundred thirty million, one hundred fifty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 101 108 120 135 180 202 216 270 303 360 404 505 540 606 808 909 1010 1080 1212 1515 1818 2020 2424 2727 3030 3636 4040 4545 5454 6060 7272 9090 10908 12120 13635 18180 21816 27270 32363 36360 54540 64726 97089 109080 129452 161815 194178 258904 291267 323630 388356 485445 582534 647260 776712 873801 970890 1165068 1294520 1456335 1747602 1941780 2330136 2912670 3268663 3495204 3883560 4369005 5825340 6537326 6990408 8738010 9805989 11650680 13074652 16343315 17476020 19611978 26149304 29417967 32686630 34952040 39223956 49029945 58835934 65373260 78447912 88253901 98059890 117671868 130746520 147089835 176507802 196119780 235343736 294179670 353015604 392239560 441269505 588359340 706031208 882539010 1176718680 1765078020 3530156040