Search a number
-
+
30145560 = 23352291097
BaseRepresentation
bin111001011111…
…1110000011000
32002201112221020
41302333300120
530204124220
62554042440
7514142634
oct162776030
962645836
1030145560
111601a895
12a119420
136326313
144009dc4
1529a7040
hex1cbfc18

30145560 has 64 divisors (see below), whose sum is σ = 90914400. Its totient is φ = 7996416.

The previous prime is 30145483. The next prime is 30145561. The reversal of 30145560 is 6554103.

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 30145560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30145561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26932 + ... + 28028.

Almost surely, 230145560 is an apocalyptic number.

30145560 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 30145560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45457200).

30145560 is an abundant number, since it is smaller than the sum of its proper divisors (60768840).

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

30145560 is a wasteful number, since it uses less digits than its factorization.

30145560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 30145560 is about 5490.4972452411. The cubic root of 30145560 is about 311.2249830702.

Adding to 30145560 its reverse (6554103), we get a palindrome (36699663).

The spelling of 30145560 in words is "thirty million, one hundred forty-five thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 229 458 687 916 1097 1145 1374 1832 2194 2290 2748 3291 3435 4388 4580 5485 5496 6582 6870 8776 9160 10970 13164 13740 16455 21940 26328 27480 32910 43880 65820 131640 251213 502426 753639 1004852 1256065 1507278 2009704 2512130 3014556 3768195 5024260 6029112 7536390 10048520 15072780 30145560