Search a number
-
+
3152151420 = 22351110147287
BaseRepresentation
bin1011101111100010…
…0000001101111100
322010200022212211220
42323320200031330
522423422321140
61240441313340
7141053562555
oct27370401574
98120285756
103152151420
111378342020
1273b795850
133b3087772
1421c8d132c
15136aeabd0
hexbbe2037c

3152151420 has 96 divisors (see below), whose sum is σ = 9723926016. Its totient is φ = 756576000.

The previous prime is 3152151389. The next prime is 3152151469. The reversal of 3152151420 is 241512513.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 43017 + ... + 90303.

It is an arithmetic number, because the mean of its divisors is an integer number (101290896).

Almost surely, 23152151420 is an apocalyptic number.

3152151420 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 3152151420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4861963008).

3152151420 is an abundant number, since it is smaller than the sum of its proper divisors (6571774596).

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

3152151420 is a wasteful number, since it uses less digits than its factorization.

3152151420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47411 (or 47409 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 3152151420 is about 56144.0239028162. The cubic root of 3152151420 is about 1466.2308642062.

Adding to 3152151420 its reverse (241512513), we get a palindrome (3393663933).

The spelling of 3152151420 in words is "three billion, one hundred fifty-two million, one hundred fifty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 101 110 132 165 202 220 303 330 404 505 606 660 1010 1111 1212 1515 2020 2222 3030 3333 4444 5555 6060 6666 11110 13332 16665 22220 33330 47287 66660 94574 141861 189148 236435 283722 472870 520157 567444 709305 945740 1040314 1418610 1560471 2080628 2600785 2837220 3120942 4775987 5201570 6241884 7802355 9551974 10403140 14327961 15604710 19103948 23879935 28655922 31209420 47759870 52535857 57311844 71639805 95519740 105071714 143279610 157607571 210143428 262679285 286559220 315215142 525358570 630430284 788037855 1050717140 1576075710 3152151420