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5984004780 = 223251319134593
BaseRepresentation
bin1011001001010110…
…01010101010101100
3120110000221221100200
411210223022222230
544223401123110
62425441553500
7301201126035
oct54453125254
916400857320
105984004780
1125a08a63a6
1211b0045890
13744988440
1440aa47a8c
152505286c0
hex164acaaac

5984004780 has 144 divisors (see below), whose sum is σ = 20576730720. Its totient is φ = 1395449856.

The previous prime is 5984004773. The next prime is 5984004781. The reversal of 5984004780 is 874004895.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5984004781) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22837 + ... + 111756.

Almost surely, 25984004780 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 5984004780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10288365360).

5984004780 is an abundant number, since it is smaller than the sum of its proper divisors (14592725940).

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

5984004780 is a wasteful number, since it uses less digits than its factorization.

5984004780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134640 (or 134635 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 5984004780 is about 77356.3493192382. The cubic root of 5984004780 is about 1815.5044200531.

The spelling of 5984004780 in words is "five billion, nine hundred eighty-four million, four thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 19 20 26 30 36 38 39 45 52 57 60 65 76 78 90 95 114 117 130 156 171 180 190 195 228 234 247 260 285 342 380 390 468 494 570 585 684 741 780 855 988 1140 1170 1235 1482 1710 2223 2340 2470 2964 3420 3705 4446 4940 7410 8892 11115 14820 22230 44460 134593 269186 403779 538372 672965 807558 1211337 1345930 1615116 1749709 2018895 2422674 2557267 2691860 3499418 4037790 4845348 5114534 5249127 6056685 6998836 7671801 8075580 8748545 10229068 10498254 12113370 12786335 15343602 15747381 17497090 20996508 23015403 24226740 25572670 26245635 30687204 31494762 33244471 34994180 38359005 46030806 51145340 52491270 62989524 66488942 76718010 78736905 92061612 99733413 104982540 115077015 132977884 153436020 157473810 166222355 199466826 230154030 299200239 314947620 332444710 398933652 460308060 498667065 598400478 664889420 997334130 1196800956 1496001195 1994668260 2992002390 5984004780