Search a number
-
+
30605152350 = 23523073112137
BaseRepresentation
bin11100100000001101…
…011001000001011110
32220222220222211100010
4130200031121001132
51000134404333400
622020530344050
72132265334263
oct344015310136
986886884303
1030605152350
1111a858a0a43
125b2172b026
132b69875c06
1416a497326a
15be1d13450
hex72035905e

30605152350 has 96 divisors (see below), whose sum is σ = 76428608256. Its totient is φ = 8104838400.

The previous prime is 30605152297. The next prime is 30605152363. The reversal of 30605152350 is 5325150603.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 14320482 + ... + 14322618.

It is an arithmetic number, because the mean of its divisors is an integer number (796131336).

Almost surely, 230605152350 is an apocalyptic number.

30605152350 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30605152350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38214304128).

30605152350 is an abundant number, since it is smaller than the sum of its proper divisors (45823455906).

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

30605152350 is a wasteful number, since it uses less digits than its factorization.

30605152350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2770 (or 2765 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 30.

The spelling of 30605152350 in words is "thirty billion, six hundred five million, one hundred fifty-two thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 307 311 614 622 921 933 1535 1555 1842 1866 2137 3070 3110 4274 4605 4665 6411 7675 7775 9210 9330 10685 12822 15350 15550 21370 23025 23325 32055 46050 46650 53425 64110 95477 106850 160275 190954 286431 320550 477385 572862 656059 664607 954770 1312118 1329214 1432155 1968177 1993821 2386925 2864310 3280295 3323035 3936354 3987642 4773850 6560590 6646070 7160775 9840885 9969105 14321550 16401475 16615175 19681770 19938210 32802950 33230350 49204425 49845525 98408850 99691050 204034349 408068698 612103047 1020171745 1224206094 2040343490 3060515235 5100858725 6121030470 10201717450 15302576175 30605152350