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5842459120 = 2451391733037
BaseRepresentation
bin1010111000011110…
…01101100111110000
3120002011121200012211
411130033031213300
543431132142440
62403424101504
7264532040341
oct53417154760
916064550184
105842459120
112528a09013
121170764894
13721559704
143d5d200c8
15242db8eea
hex15c3cd9f0

5842459120 has 80 divisors (see below), whose sum is σ = 13765056480. Its totient is φ = 2305999872.

The previous prime is 5842459097. The next prime is 5842459153. The reversal of 5842459120 is 219542485.

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 (40).

It is a congruent number.

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, 1922242 + ... + 1925278.

It is an arithmetic number, because the mean of its divisors is an integer number (172063206).

Almost surely, 25842459120 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 5842459120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6882528240).

5842459120 is an abundant number, since it is smaller than the sum of its proper divisors (7922597360).

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

5842459120 is a wasteful number, since it uses less digits than its factorization.

5842459120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3362 (or 3356 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 40.

The square root of 5842459120 is about 76435.9805327308. The cubic root of 5842459120 is about 1801.0753985343.

The spelling of 5842459120 in words is "five billion, eight hundred forty-two million, four hundred fifty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 139 173 278 346 556 692 695 865 1112 1384 1390 1730 2224 2768 2780 3037 3460 5560 6074 6920 11120 12148 13840 15185 24047 24296 30370 48094 48592 60740 96188 120235 121480 192376 240470 242960 384752 422143 480940 525401 844286 961880 1050802 1688572 1923760 2101604 2110715 2627005 3377144 4203208 4221430 5254010 6754288 8406416 8442860 10508020 16885720 21016040 33771440 42032080 73030739 146061478 292122956 365153695 584245912 730307390 1168491824 1460614780 2921229560 5842459120