Search a number
-
+
5659378320 = 243545751599
BaseRepresentation
bin1010100010101001…
…10100001010010000
3112121102010012120110
411101110310022100
543042300101240
62333324041320
7260146631151
oct52124641220
915542105513
105659378320
112444631772
12111b393240
136c264748b
143b98a3928
15231ca2c80
hex151534290

5659378320 has 80 divisors (see below), whose sum is σ = 17582803200. Its totient is φ = 1505836032.

The previous prime is 5659378279. The next prime is 5659378339. The reversal of 5659378320 is 238739565.

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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5659378320.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83881 + ... + 135479.

It is an arithmetic number, because the mean of its divisors is an integer number (219785040).

Almost surely, 25659378320 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 5659378320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8791401600).

5659378320 is an abundant number, since it is smaller than the sum of its proper divisors (11923424880).

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

5659378320 is a wasteful number, since it uses less digits than its factorization.

5659378320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52072 (or 52066 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 48.

The square root of 5659378320 is about 75228.8396826643. The cubic root of 5659378320 is about 1782.0624076718.

The spelling of 5659378320 in words is "five billion, six hundred fifty-nine million, three hundred seventy-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 457 914 1371 1828 2285 2742 3656 4570 5484 6855 7312 9140 10968 13710 18280 21936 27420 36560 51599 54840 103198 109680 154797 206396 257995 309594 412792 515990 619188 773985 825584 1031980 1238376 1547970 2063960 2476752 3095940 4127920 6191880 12383760 23580743 47161486 70742229 94322972 117903715 141484458 188645944 235807430 282968916 353711145 377291888 471614860 565937832 707422290 943229720 1131875664 1414844580 1886459440 2829689160 5659378320