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30120000 = 26354251
BaseRepresentation
bin111001011100…
…1100001000000
32002200020212120
41302321201000
530202320000
62553324240
7514005261
oct162714100
962606776
1030120000
1116002669
12a106680
1363177b1
144000968
15299e6a0
hex1cb9840

30120000 has 140 divisors (see below), whose sum is σ = 99980496. Its totient is φ = 8000000.

The previous prime is 30119989. The next prime is 30120011. The reversal of 30120000 is 2103.

It is an interprime number because it is at equal distance from previous prime (30119989) and next prime (30120011).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 119875 + ... + 120125.

Almost surely, 230120000 is an apocalyptic number.

30120000 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 30120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49990248).

30120000 is an abundant number, since it is smaller than the sum of its proper divisors (69860496).

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

30120000 is an equidigital number, since it uses as much as digits as its factorization.

30120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 30120000 is about 5488.1690936049. The cubic root of 30120000 is about 311.1369970902.

Adding to 30120000 its reverse (2103), we get a palindrome (30122103).

It can be divided in two parts, 301 and 20000, that added together give a triangular number (20301 = T201).

The spelling of 30120000 in words is "thirty million, one hundred twenty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 251 300 320 375 400 480 500 502 600 625 750 753 800 960 1000 1004 1200 1250 1255 1500 1506 1600 1875 2000 2008 2400 2500 2510 3000 3012 3750 3765 4000 4016 4800 5000 5020 6000 6024 6275 7500 7530 8000 8032 10000 10040 12000 12048 12550 15000 15060 16064 18825 20000 20080 24000 24096 25100 30000 30120 31375 37650 40000 40160 48192 50200 60000 60240 62750 75300 80320 94125 100400 120000 120480 125500 150600 156875 188250 200800 240960 251000 301200 313750 376500 401600 470625 502000 602400 627500 753000 941250 1004000 1204800 1255000 1506000 1882500 2008000 2510000 3012000 3765000 5020000 6024000 7530000 10040000 15060000 30120000