Search a number
-
+
30132452040 = 23352294192617
BaseRepresentation
bin11100000100000010…
…001011101011001000
32212202222112011102020
4130010002023223020
5443202401431130
621502003004440
72114465421255
oct340402135310
985688464366
1030132452040
1111862a90229
125a0b369720
132ac295b9a2
14165bc8642c
15bb558de10
hex70408bac8

30132452040 has 128 divisors (see below), whose sum is σ = 91043568000. Its totient is φ = 7978088448.

The previous prime is 30132452033. The next prime is 30132452041. The reversal of 30132452040 is 4025423103.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 30132452040.

It is not an unprimeable number, because it can be changed into a prime (30132452041) by changing a digit.

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, 11512812 + ... + 11515428.

It is an arithmetic number, because the mean of its divisors is an integer number (711277875).

Almost surely, 230132452040 is an apocalyptic number.

30132452040 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 30132452040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45521784000).

30132452040 is an abundant number, since it is smaller than the sum of its proper divisors (60911115960).

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

30132452040 is a wasteful number, since it uses less digits than its factorization.

30132452040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3279 (or 3275 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

Adding to 30132452040 its reverse (4025423103), we get a palindrome (34157875143).

The spelling of 30132452040 in words is "thirty billion, one hundred thirty-two million, four hundred fifty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 229 419 458 687 838 916 1145 1257 1374 1676 1832 2095 2290 2514 2617 2748 3352 3435 4190 4580 5028 5234 5496 6285 6870 7851 8380 9160 10056 10468 12570 13085 13740 15702 16760 20936 25140 26170 27480 31404 39255 50280 52340 62808 78510 95951 104680 157020 191902 287853 314040 383804 479755 575706 599293 767608 959510 1096523 1151412 1198586 1439265 1797879 1919020 2193046 2302824 2397172 2878530 2996465 3289569 3595758 3838040 4386092 4794344 5482615 5757060 5992930 6579138 7191516 8772184 8989395 10965230 11514120 11985860 13158276 14383032 16447845 17978790 21930460 23971720 26316552 32895690 35957580 43860920 65791380 71915160 131582760 251103767 502207534 753311301 1004415068 1255518835 1506622602 2008830136 2511037670 3013245204 3766556505 5022075340 6026490408 7533113010 10044150680 15066226020 30132452040