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30138480 = 243454651
BaseRepresentation
bin111001011111…
…0000001110000
32002201012020000
41302332001300
530203412410
62553550000
7514113201
oct162760160
962635200
1030138480
1116015539
12a115300
136323028
1440075a8
1529a4dc0
hex1cbe070

30138480 has 100 divisors (see below), whose sum is σ = 104697912. Its totient is φ = 8035200.

The previous prime is 30138473. The next prime is 30138499. The reversal of 30138480 is 8483103.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4155 + ... + 8805.

Almost surely, 230138480 is an apocalyptic number.

30138480 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 30138480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52348956).

30138480 is an abundant number, since it is smaller than the sum of its proper divisors (74559432).

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

30138480 is a wasteful number, since it uses less digits than its factorization.

30138480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4676 (or 4661 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 30138480 is about 5489.8524570338. The cubic root of 30138480 is about 311.2006163486.

It can be divided in two parts, 301 and 38480, that added together give a triangular number (38781 = T278).

The spelling of 30138480 in words is "thirty million, one hundred thirty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 4651 6480 9302 13953 18604 23255 27906 37208 41859 46510 55812 69765 74416 83718 93020 111624 125577 139530 167436 186040 209295 223248 251154 279060 334872 372080 376731 418590 502308 558120 627885 669744 753462 837180 1004616 1116240 1255770 1506924 1674360 1883655 2009232 2511540 3013848 3348720 3767310 5023080 6027696 7534620 10046160 15069240 30138480