Search a number
-
+
3015032240 = 245115236551
BaseRepresentation
bin1011001110110101…
…1011110110110000
321210010022111200202
42303231123312300
522133322012430
61215102334332
7134500231313
oct26355336660
97703274622
103015032240
1113079a8390
1270188a3a8
1339084875c
142085da97a
15129a62d45
hexb3b5bdb0

3015032240 has 80 divisors (see below), whose sum is σ = 7663009536. Its totient is φ = 1094112000.

The previous prime is 3015032231. The next prime is 3015032243. The reversal of 3015032240 is 422305103.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (3015032243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 456965 + ... + 463515.

Almost surely, 23015032240 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 3015032240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3831504768).

3015032240 is an abundant number, since it is smaller than the sum of its proper divisors (4647977296).

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

3015032240 is a wasteful number, since it uses less digits than its factorization.

3015032240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7098 (or 7092 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 3015032240 is about 54909.3092289459. The cubic root of 3015032240 is about 1444.6544737240.

Adding to 3015032240 its reverse (422305103), we get a palindrome (3437337343).

The spelling of 3015032240 in words is "three billion, fifteen million, thirty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 523 880 1046 2092 2615 4184 5230 5753 6551 8368 10460 11506 13102 20920 23012 26204 28765 32755 41840 46024 52408 57530 65510 72061 92048 104816 115060 131020 144122 230120 262040 288244 360305 460240 524080 576488 720610 1152976 1441220 2882440 3426173 5764880 6852346 13704692 17130865 27409384 34261730 37687903 54818768 68523460 75375806 137046920 150751612 188439515 274093840 301503224 376879030 603006448 753758060 1507516120 3015032240