Search a number
-
+
30193380 = 22325731773
BaseRepresentation
bin111001100101…
…1011011100100
32002210222112100
41303023123210
530212142010
62555052100
7514432230
oct163133344
962728470
1030193380
1116052808
12a141030
136342009
14401d5c0
1529b62c0
hex1ccb6e4

30193380 has 144 divisors (see below), whose sum is σ = 108186624. Its totient is φ = 6670080.

The previous prime is 30193363. The next prime is 30193391. The reversal of 30193380 is 8339103.

30193380 = 2182 + 2192 + ... + 4652.

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, 38674 + ... + 39446.

It is an arithmetic number, because the mean of its divisors is an integer number (751296).

Almost surely, 230193380 is an apocalyptic number.

30193380 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 30193380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54093312).

30193380 is an abundant number, since it is smaller than the sum of its proper divisors (77993244).

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

30193380 is a wasteful number, since it uses less digits than its factorization.

30193380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 30193380 is about 5494.8503164327. The cubic root of 30193380 is about 311.3894618645.

The spelling of 30193380 in words is "thirty million, one hundred ninety-three thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 31 35 36 42 45 60 62 63 70 84 90 93 105 124 126 140 155 180 186 210 217 252 279 310 315 372 420 434 465 558 620 630 651 773 868 930 1085 1116 1260 1302 1395 1546 1860 1953 2170 2319 2604 2790 3092 3255 3865 3906 4340 4638 5411 5580 6510 6957 7730 7812 9276 9765 10822 11595 13020 13914 15460 16233 19530 21644 23190 23963 27055 27828 32466 34785 39060 46380 47926 48699 54110 64932 69570 71889 81165 95852 97398 108220 119815 139140 143778 162330 167741 194796 215667 239630 243495 287556 324660 335482 359445 431334 479260 486990 503223 670964 718890 838705 862668 973980 1006446 1078335 1437780 1509669 1677410 2012892 2156670 2516115 3019338 3354820 4313340 5032230 6038676 7548345 10064460 15096690 30193380