Search a number
-
+
3100078872 = 2333119713451
BaseRepresentation
bin1011100011000111…
…0111001100011000
322000001100022202000
42320301313030120
522322110010442
61231341241000
7136552143552
oct27061671430
98001308660
103100078872
111350a06160
12726263160
133a5354bc7
14215a184d2
15132261d4c
hexb8c77318

3100078872 has 128 divisors (see below), whose sum is σ = 9491731200. Its totient is φ = 929664000.

The previous prime is 3100078853. The next prime is 3100078873. The reversal of 3100078872 is 2788700013.

3100078872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×31000788722 = 19220978025241584768, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3100078873) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223747 + ... + 237197.

It is an arithmetic number, because the mean of its divisors is an integer number (74154150).

Almost surely, 23100078872 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 3100078872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4745865600).

3100078872 is an abundant number, since it is smaller than the sum of its proper divisors (6391652328).

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

3100078872 is a wasteful number, since it uses less digits than its factorization.

3100078872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13574 (or 13564 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 3100078872 is about 55678.3519152642. The cubic root of 3100078872 is about 1458.1121016619.

Adding to 3100078872 its reverse (2788700013), we get a palindrome (5888778885).

The spelling of 3100078872 in words is "three billion, one hundred million, seventy-eight thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 97 99 108 132 194 198 216 264 291 297 388 396 582 594 776 792 873 1067 1164 1188 1746 2134 2328 2376 2619 3201 3492 4268 5238 6402 6984 8536 9603 10476 12804 13451 19206 20952 25608 26902 28809 38412 40353 53804 57618 76824 80706 107608 115236 121059 147961 161412 230472 242118 295922 322824 363177 443883 484236 591844 726354 887766 968472 1183688 1304747 1331649 1452708 1775532 2609494 2663298 2905416 3551064 3914241 3994947 5218988 5326596 7828482 7989894 10437976 10653192 11742723 14352217 15656964 15979788 23485446 28704434 31313928 31959576 35228169 43056651 46970892 57408868 70456338 86113302 93941784 114817736 129169953 140912676 172226604 258339906 281825352 344453208 387509859 516679812 775019718 1033359624 1550039436 3100078872