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2907072 = 263272103
BaseRepresentation
bin1011000101101111000000
312110200202100
423011233000
51221011242
6142150400
733465300
oct13055700
95420670
102907072
111706143
12b82400
137aa27c
14559600
153c654c
hex2c5bc0

2907072 has 126 divisors (see below), whose sum is σ = 9787128. Its totient is φ = 822528.

The previous prime is 2907067. The next prime is 2907089. The reversal of 2907072 is 2707092.

It is a tau number, because it is divible by the number of its divisors (126).

It is a super-2 number, since 2×29070722 = 16902135226368, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 28173 + ... + 28275.

22907072 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 2907072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4893564).

2907072 is an abundant number, since it is smaller than the sum of its proper divisors (6880056).

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

2907072 is a wasteful number, since it uses less digits than its factorization.

2907072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 2907072 is about 1705.0137829355. The cubic root of 2907072 is about 142.7201398914.

The spelling of 2907072 in words is "two million, nine hundred seven thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 103 112 126 144 147 168 192 196 206 224 252 288 294 309 336 392 412 441 448 504 576 588 618 672 721 784 824 882 927 1008 1176 1236 1344 1442 1568 1648 1764 1854 2016 2163 2352 2472 2884 3136 3296 3528 3708 4032 4326 4704 4944 5047 5768 6489 6592 7056 7416 8652 9408 9888 10094 11536 12978 14112 14832 15141 17304 19776 20188 23072 25956 28224 29664 30282 34608 40376 45423 46144 51912 59328 60564 69216 80752 90846 103824 121128 138432 161504 181692 207648 242256 323008 363384 415296 484512 726768 969024 1453536 2907072