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3066534960 = 243558721767
BaseRepresentation
bin1011011011000111…
…1001110000110000
321220201020010010220
42312301321300300
522240013104320
61224142253040
7135664055106
oct26661716060
97821203126
103066534960
111333a85115
12716b87180
1339b40bb38
142113a5c76
1512e337e40
hexb6c79c30

3066534960 has 80 divisors (see below), whose sum is σ = 9522890496. Its totient is φ = 816312064.

The previous prime is 3066534949. The next prime is 3066535013. The reversal of 3066534960 is 694356603.

3066534960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129997 + ... + 151763.

Almost surely, 23066534960 is an apocalyptic number.

3066534960 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 3066534960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4761445248).

3066534960 is an abundant number, since it is smaller than the sum of its proper divisors (6456355536).

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

3066534960 is a wasteful number, since it uses less digits than its factorization.

3066534960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22370 (or 22364 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 42.

The square root of 3066534960 is about 55376.3032352287. The cubic root of 3066534960 is about 1452.8339281401.

The spelling of 3066534960 in words is "three billion, sixty-six million, five hundred thirty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 587 1174 1761 2348 2935 3522 4696 5870 7044 8805 9392 11740 14088 17610 21767 23480 28176 35220 43534 46960 65301 70440 87068 108835 130602 140880 174136 217670 261204 326505 348272 435340 522408 653010 870680 1044816 1306020 1741360 2612040 5224080 12777229 25554458 38331687 51108916 63886145 76663374 102217832 127772290 153326748 191658435 204435664 255544580 306653496 383316870 511089160 613306992 766633740 1022178320 1533267480 3066534960