Search a number
-
+
215761364 = 227133119121
BaseRepresentation
bin11001101110001…
…00000111010100
3120000222210221122
430313010013110
5420213330424
633224303112
75226640610
oct1467040724
9500883848
10215761364
11100878785
1260311a98
1335915360
1420926340
1513e1e45e
hexcdc41d4

215761364 has 48 divisors (see below), whose sum is σ = 479732736. Its totient is φ = 82598400.

The previous prime is 215761339. The next prime is 215761379. The reversal of 215761364 is 463167512.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1724 + ... + 20844.

It is an arithmetic number, because the mean of its divisors is an integer number (9994432).

Almost surely, 2215761364 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 215761364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239866368).

215761364 is an abundant number, since it is smaller than the sum of its proper divisors (263971372).

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

215761364 is a wasteful number, since it uses less digits than its factorization.

215761364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19176 (or 19174 counting only the distinct ones).

The product of its digits is 30240, while the sum is 35.

The square root of 215761364 is about 14688.8176515334. The cubic root of 215761364 is about 599.7789593191.

The spelling of 215761364 in words is "two hundred fifteen million, seven hundred sixty-one thousand, three hundred sixty-four".

Divisors: 1 2 4 7 13 14 26 28 31 52 62 91 124 182 217 364 403 434 806 868 1612 2821 5642 11284 19121 38242 76484 133847 248573 267694 497146 535388 592751 994292 1185502 1740011 2371004 3480022 4149257 6960044 7705763 8298514 15411526 16597028 30823052 53940341 107880682 215761364