Search a number
-
+
30050400 = 2535219659
BaseRepresentation
bin111001010100…
…0100001100000
32002112201101210
41302220201200
530143103100
62552030120
7513265332
oct162504140
962481353
1030050400
1115a65346
12a092340
1362c1c03
143dc3452
152988c50
hex1ca8860

30050400 has 144 divisors (see below), whose sum is σ = 103118400. Its totient is φ = 7580160.

The previous prime is 30050389. The next prime is 30050413. The reversal of 30050400 is 405003.

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 23 ways as a sum of consecutive naturals, for example, 45271 + ... + 45929.

It is an arithmetic number, because the mean of its divisors is an integer number (716100).

Almost surely, 230050400 is an apocalyptic number.

30050400 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 30050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51559200).

30050400 is an abundant number, since it is smaller than the sum of its proper divisors (73068000).

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

30050400 is a wasteful number, since it uses less digits than its factorization.

30050400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 701 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 12.

The square root of 30050400 is about 5481.8245137910. The cubic root of 30050400 is about 310.8971582638.

Adding to 30050400 its reverse (405003), we get a palindrome (30455403).

The spelling of 30050400 in words is "thirty million, fifty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 32 38 40 48 50 57 60 75 76 80 95 96 100 114 120 150 152 160 190 200 228 240 285 300 304 380 400 456 475 480 570 600 608 659 760 800 912 950 1140 1200 1318 1425 1520 1824 1900 1977 2280 2400 2636 2850 3040 3295 3800 3954 4560 5272 5700 6590 7600 7908 9120 9885 10544 11400 12521 13180 15200 15816 16475 19770 21088 22800 25042 26360 31632 32950 37563 39540 45600 49425 50084 52720 62605 63264 65900 75126 79080 98850 100168 105440 125210 131800 150252 158160 187815 197700 200336 250420 263600 300504 313025 316320 375630 395400 400672 500840 527200 601008 626050 751260 790800 939075 1001680 1202016 1252100 1502520 1581600 1878150 2003360 2504200 3005040 3756300 5008400 6010080 7512600 10016800 15025200 30050400