Search a number
-
+
30059372560 = 2457192148691
BaseRepresentation
bin11011111111101011…
…011010000000010000
32212120220000100012211
4123333223122000100
5443030144410220
621450432401504
72112620310460
oct337753320020
985526010184
1030059372560
1111825806568
1259aa9a6294
132ab07825a9
1416522a1ba0
15bade55b5a
hex6ffada010

30059372560 has 120 divisors (see below), whose sum is σ = 84297658176. Its totient is φ = 9763580160.

The previous prime is 30059372557. The next prime is 30059372587. The reversal of 30059372560 is 6527395003.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 127815 + ... + 276505.

Almost surely, 230059372560 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30059372560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42148829088).

30059372560 is an abundant number, since it is smaller than the sum of its proper divisors (54238285616).

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

30059372560 is a wasteful number, since it uses less digits than its factorization.

30059372560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148749 (or 148724 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 40.

The spelling of 30059372560 in words is "thirty billion, fifty-nine million, three hundred seventy-two thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 280 304 361 380 532 560 665 722 760 1064 1330 1444 1520 1805 2128 2527 2660 2888 3610 5054 5320 5776 7220 10108 10640 12635 14440 20216 25270 28880 40432 50540 101080 148691 202160 297382 594764 743455 1040837 1189528 1486910 2081674 2379056 2825129 2973820 4163348 5204185 5650258 5947640 8326696 10408370 11300516 11895280 14125645 16653392 19775903 20816740 22601032 28251290 39551806 41633480 45202064 53677451 56502580 79103612 83266960 98879515 107354902 113005160 158207224 197759030 214709804 226010320 268387255 316414448 375742157 395518060 429419608 536774510 751484314 791036120 858839216 1073549020 1502968628 1582072240 1878710785 2147098040 3005937256 3757421570 4294196080 6011874512 7514843140 15029686280 30059372560