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30802500 = 223254372
BaseRepresentation
bin111010110000…
…0001001000100
32010221221002100
41311200021010
530341140000
63020112100
7522550131
oct165401104
963857070
1030802500
1116429413
12a395630
1364c6341
14413b588
152a86a00
hex1d60244

30802500 has 135 divisors (see below), whose sum is σ = 99996897. Its totient is φ = 7992000.

The previous prime is 30802493. The next prime is 30802501. The reversal of 30802500 is 520803.

The square root of 30802500 is 5550.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 10227204 + 20575296 = 3198^2 + 4536^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (30802501) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 832482 + ... + 832518.

Almost surely, 230802500 is an apocalyptic number.

30802500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

30802500 is the 5550-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30802500

30802500 is an abundant number, since it is smaller than the sum of its proper divisors (69194397).

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

30802500 is a wasteful number, since it uses less digits than its factorization.

30802500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The cubic root of 30802500 is about 313.4695223075.

The spelling of 30802500 in words is "thirty million, eight hundred two thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 37 45 50 60 74 75 90 100 111 125 148 150 180 185 222 225 250 300 333 370 375 444 450 500 555 625 666 740 750 900 925 1110 1125 1250 1332 1369 1500 1665 1850 1875 2220 2250 2500 2738 2775 3330 3700 3750 4107 4500 4625 5476 5550 5625 6660 6845 7500 8214 8325 9250 11100 11250 12321 13690 13875 16428 16650 18500 20535 22500 23125 24642 27380 27750 33300 34225 41070 41625 46250 49284 55500 61605 68450 69375 82140 83250 92500 102675 123210 136900 138750 166500 171125 205350 208125 246420 277500 308025 342250 410700 416250 513375 616050 684500 832500 855625 1026750 1232100 1540125 1711250 2053500 2566875 3080250 3422500 5133750 6160500 7700625 10267500 15401250 30802500