Search a number
-
+
30720541260 = 22355925733767
BaseRepresentation
bin11100100111000101…
…100100001001001100
32221021222010012011110
4130213011210021030
51000403424310020
622040211452020
72135166202143
oct344705441114
987258105143
1030720541260
1112034a43382
125b542b7010
132b87747086
1416b600c75a
15bec0078e0
hex72716424c

30720541260 has 96 divisors (see below), whose sum is σ = 87818411520. Its totient is φ = 8021721088.

The previous prime is 30720541253. The next prime is 30720541273. The reversal of 30720541260 is 6214502703.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 892897 + ... + 926663.

It is an arithmetic number, because the mean of its divisors is an integer number (914775120).

Almost surely, 230720541260 is an apocalyptic number.

30720541260 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 30720541260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43909205760).

30720541260 is an abundant number, since it is smaller than the sum of its proper divisors (57097870260).

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

30720541260 is a wasteful number, since it uses less digits than its factorization.

30720541260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34095 (or 34093 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The spelling of 30720541260 in words is "thirty billion, seven hundred twenty million, five hundred forty-one thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 59 60 118 177 236 257 295 354 514 590 708 771 885 1028 1180 1285 1542 1770 2570 3084 3540 3855 5140 7710 15163 15420 30326 33767 45489 60652 67534 75815 90978 101301 135068 151630 168835 181956 202602 227445 303260 337670 405204 454890 506505 675340 909780 1013010 1992253 2026020 3984506 5976759 7969012 8678119 9961265 11953518 17356238 19922530 23907036 26034357 29883795 34712476 39845060 43390595 52068714 59767590 86781190 104137428 119535180 130171785 173562380 260343570 512009021 520687140 1024018042 1536027063 2048036084 2560045105 3072054126 5120090210 6144108252 7680135315 10240180420 15360270630 30720541260