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30141300 = 22352731463
BaseRepresentation
bin111001011111…
…0101101110100
32002201100002110
41302332231310
530204010200
62554011020
7514124340
oct162765564
962640073
1030141300
1116017672
12a116a70
1363243b7
144008620
1529a5b50
hex1cbeb74

30141300 has 144 divisors (see below), whose sum is σ = 103104512. Its totient is φ = 6652800.

The previous prime is 30141299. The next prime is 30141317. The reversal of 30141300 is 314103.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64869 + ... + 65331.

Almost surely, 230141300 is an apocalyptic number.

30141300 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 30141300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51552256).

30141300 is an abundant number, since it is smaller than the sum of its proper divisors (72963212).

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

30141300 is a wasteful number, since it uses less digits than its factorization.

30141300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 30141300 is about 5490.1092885297. The cubic root of 30141300 is about 311.2103221949.

Adding to 30141300 its reverse (314103), we get a palindrome (30455403).

The spelling of 30141300 in words is "thirty million, one hundred forty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 31 35 42 50 60 62 70 75 84 93 100 105 124 140 150 155 175 186 210 217 300 310 350 372 420 434 463 465 525 620 651 700 775 868 926 930 1050 1085 1302 1389 1550 1852 1860 2100 2170 2315 2325 2604 2778 3100 3241 3255 4340 4630 4650 5425 5556 6482 6510 6945 9260 9300 9723 10850 11575 12964 13020 13890 14353 16205 16275 19446 21700 23150 27780 28706 32410 32550 34725 38892 43059 46300 48615 57412 64820 65100 69450 71765 81025 86118 97230 100471 138900 143530 162050 172236 194460 200942 215295 243075 287060 301413 324100 358825 401884 430590 486150 502355 602826 717650 861180 972300 1004710 1076475 1205652 1435300 1507065 2009420 2152950 2511775 3014130 4305900 5023550 6028260 7535325 10047100 15070650 30141300