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30245100 = 22352181557
BaseRepresentation
bin111001101100…
…0000011101100
32002220121110220
41303120003230
530220320400
63000131340
7515036064
oct163300354
962817426
1030245100
1116088656
12a166b50
13635c712
1440343a4
1529c67a0
hex1cd80ec

30245100 has 72 divisors (see below), whose sum is σ = 88150608. Its totient is φ = 8006400.

The previous prime is 30245087. The next prime is 30245101. The reversal of 30245100 is 154203.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 30245100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30245101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54022 + ... + 54578.

It is an arithmetic number, because the mean of its divisors is an integer number (1224314).

Almost surely, 230245100 is an apocalyptic number.

30245100 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 30245100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44075304).

30245100 is an abundant number, since it is smaller than the sum of its proper divisors (57905508).

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

30245100 is a wasteful number, since it uses less digits than its factorization.

30245100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 755 (or 748 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 30245100 is about 5499.5545274140. The cubic root of 30245100 is about 311.5671594916.

Adding to 30245100 its reverse (154203), we get a palindrome (30399303).

The spelling of 30245100 in words is "thirty million, two hundred forty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 181 300 362 543 557 724 905 1086 1114 1671 1810 2172 2228 2715 2785 3342 3620 4525 5430 5570 6684 8355 9050 10860 11140 13575 13925 16710 18100 27150 27850 33420 41775 54300 55700 83550 100817 167100 201634 302451 403268 504085 604902 1008170 1209804 1512255 2016340 2520425 3024510 5040850 6049020 7561275 10081700 15122550 30245100