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30001400 = 235211131049
BaseRepresentation
bin111001001110…
…0100011111000
32002110020011222
41302130203320
530140021100
62551011212
7513002432
oct162344370
962406158
1030001400
1115a31550
12a069b08
1362a5810
143dad652
152979485
hex1c9c8f8

30001400 has 96 divisors (see below), whose sum is σ = 82026000. Its totient is φ = 10060800.

The previous prime is 30001373. The next prime is 30001403. The reversal of 30001400 is 410003.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30001403) 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 23 ways as a sum of consecutive naturals, for example, 28076 + ... + 29124.

Almost surely, 230001400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30001400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41013000).

30001400 is an abundant number, since it is smaller than the sum of its proper divisors (52024600).

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

30001400 is a wasteful number, since it uses less digits than its factorization.

30001400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089 (or 1080 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 30001400 is about 5477.3533754908. The cubic root of 30001400 is about 310.7280839930.

Adding to 30001400 its reverse (410003), we get a palindrome (30411403).

The spelling of 30001400 in words is "thirty million, one thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 13 20 22 25 26 40 44 50 52 55 65 88 100 104 110 130 143 200 220 260 275 286 325 440 520 550 572 650 715 1049 1100 1144 1300 1430 2098 2200 2600 2860 3575 4196 5245 5720 7150 8392 10490 11539 13637 14300 20980 23078 26225 27274 28600 41960 46156 52450 54548 57695 68185 92312 104900 109096 115390 136370 150007 209800 230780 272740 288475 300014 340925 461560 545480 576950 600028 681850 750035 1153900 1200056 1363700 1500070 2307800 2727400 3000140 3750175 6000280 7500350 15000700 30001400