Search a number
-
+
315155104 = 25111934639
BaseRepresentation
bin10010110010001…
…110001010100000
3210222000112112021
4102302032022200
51121134430404
651134511224
710544526355
oct2262161240
9728015467
10315155104
11151995770
1289665514
13503a5c14
142dbda62c
151ca04454
hex12c8e2a0

315155104 has 48 divisors (see below), whose sum is σ = 680520960. Its totient is φ = 142479360.

The previous prime is 315155063. The next prime is 315155107. The reversal of 315155104 is 401551513.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (315155107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65617 + ... + 70255.

It is an arithmetic number, because the mean of its divisors is an integer number (14177520).

Almost surely, 2315155104 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 315155104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340260480).

315155104 is an abundant number, since it is smaller than the sum of its proper divisors (365365856).

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

315155104 is a wasteful number, since it uses less digits than its factorization.

315155104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4853 (or 4845 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

The square root of 315155104 is about 17752.6083717295. The cubic root of 315155104 is about 680.5208696627.

The spelling of 315155104 in words is "three hundred fifteen million, one hundred fifty-five thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 193 352 386 772 1544 2123 3088 4246 4639 6176 8492 9278 16984 18556 33968 37112 51029 67936 74224 102058 148448 204116 408232 816464 895327 1632928 1790654 3581308 7162616 9848597 14325232 19697194 28650464 39394388 78788776 157577552 315155104