Search a number
-
+
3087207072 = 2532176110337
BaseRepresentation
bin1011100000000011…
…0000101010100000
321222011010100221200
42320000300222200
522310311111242
61230201321200
7136334553465
oct27000605240
97864110850
103087207072
111344714404
12721a96200
133a2799161
1421402766c
1513106d04c
hexb8030aa0

3087207072 has 144 divisors (see below), whose sum is σ = 9448973352. Its totient is φ = 952565760.

The previous prime is 3087207031. The next prime is 3087207083. The reversal of 3087207072 is 2707027803.

It can be written as a sum of positive squares in 4 ways, for example, as 1390096656 + 1697110416 = 37284^2 + 41196^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 293488 + ... + 303824.

Almost surely, 23087207072 is an apocalyptic number.

3087207072 is a gapful number since it is divisible by the number (32) 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 3087207072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4724486676).

3087207072 is an abundant number, since it is smaller than the sum of its proper divisors (6361766280).

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

3087207072 is a wasteful number, since it uses less digits than its factorization.

3087207072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10431 (or 10420 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 3087207072 is about 55562.6409739494. The cubic root of 3087207072 is about 1456.0912322578.

The spelling of 3087207072 in words is "three billion, eighty-seven million, two hundred seven thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 61 68 72 96 102 122 136 144 153 183 204 244 272 288 306 366 408 488 544 549 612 732 816 976 1037 1098 1224 1464 1632 1952 2074 2196 2448 2928 3111 4148 4392 4896 5856 6222 8296 8784 9333 10337 12444 16592 17568 18666 20674 24888 31011 33184 37332 41348 49776 62022 74664 82696 93033 99552 124044 149328 165392 175729 186066 248088 298656 330784 351458 372132 496176 527187 630557 702916 744264 992352 1054374 1261114 1405832 1488528 1581561 1891671 2108748 2522228 2811664 2977056 3163122 3783342 4217496 5044456 5623328 5675013 6326244 7566684 8434992 10088912 10719469 11350026 12652488 15133368 16869984 20177824 21438938 22700052 25304976 30266736 32158407 42877876 45400104 50609952 60533472 64316814 85755752 90800208 96475221 128633628 171511504 181600416 192950442 257267256 343023008 385900884 514534512 771801768 1029069024 1543603536 3087207072