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315542196 = 223319367419
BaseRepresentation
bin10010110011101…
…100101010110100
3210222202012112000
4102303230222310
51121234322241
651151055300
710551031044
oct2263545264
9728665460
10315542196
1115212a582
1289811530
13504b0178
142dc9b724
151ca7deb6
hex12cecab4

315542196 has 96 divisors (see below), whose sum is σ = 865536000. Its totient is φ = 99136224.

The previous prime is 315542173. The next prime is 315542197. The reversal of 315542196 is 691245513.

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

Its product of digits (32400) is a multiple of the sum of its prime divisors (810).

It is a self number, because there is not a number n which added to its sum of digits gives 315542196.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315542197) 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, 752875 + ... + 753293.

It is an arithmetic number, because the mean of its divisors is an integer number (9016000).

Almost surely, 2315542196 is an apocalyptic number.

315542196 is a gapful number since it is divisible by the number (36) 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 315542196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432768000).

315542196 is an abundant number, since it is smaller than the sum of its proper divisors (549993804).

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

315542196 is a wasteful number, since it uses less digits than its factorization.

315542196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 810 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 315542196 is about 17763.5074239295. The cubic root of 315542196 is about 680.7993742293.

The spelling of 315542196 in words is "three hundred fifteen million, five hundred forty-two thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 367 419 513 684 734 838 1026 1101 1257 1468 1676 2052 2202 2514 3303 3771 4404 5028 6606 6973 7542 7961 9909 11313 13212 13946 15084 15922 19818 20919 22626 23883 27892 31844 39636 41838 45252 47766 62757 71649 83676 95532 125514 143298 153773 188271 214947 251028 286596 307546 376542 429894 461319 615092 753084 859788 922638 1383957 1845276 2767914 2921687 4151871 5535828 5843374 8303742 8765061 11686748 16607484 17530122 26295183 35060244 52590366 78885549 105180732 157771098 315542196