Search a number
-
+
5407868880 = 243354753269
BaseRepresentation
bin1010000100101010…
…11000011111010000
3111221212212012111000
411002111120133100
542033403301010
62252341222000
7251004061401
oct50225303720
914855765430
105407868880
112325667a27
12106b101900
136824c6a1b
143943139a8
15219b717c0
hex1425587d0

5407868880 has 160 divisors (see below), whose sum is σ = 19023782400. Its totient is φ = 1411388928.

The previous prime is 5407868821. The next prime is 5407868909. The reversal of 5407868880 is 888687045.

5407868880 is a `hidden beast` number, since 5 + 407 + 86 + 88 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74886 + ... + 128154.

It is an arithmetic number, because the mean of its divisors is an integer number (118898640).

Almost surely, 25407868880 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 5407868880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9511891200).

5407868880 is an abundant number, since it is smaller than the sum of its proper divisors (13615913520).

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

5407868880 is a wasteful number, since it uses less digits than its factorization.

5407868880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53338 (or 53326 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The square root of 5407868880 is about 73538.2137395246. The cubic root of 5407868880 is about 1755.2624050620.

The spelling of 5407868880 in words is "five billion, four hundred seven million, eight hundred sixty-eight thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 47 48 54 60 72 80 90 94 108 120 135 141 144 180 188 216 235 240 270 282 360 376 423 432 470 540 564 705 720 752 846 940 1080 1128 1269 1410 1692 1880 2115 2160 2256 2538 2820 3384 3760 4230 5076 5640 6345 6768 8460 10152 11280 12690 16920 20304 25380 33840 50760 53269 101520 106538 159807 213076 266345 319614 426152 479421 532690 639228 799035 852304 958842 1065380 1278456 1438263 1598070 1917684 2130760 2397105 2503643 2556912 2876526 3196140 3835368 4261520 4794210 5007286 5753052 6392280 7191315 7510929 7670736 9588420 10014572 11506104 12518215 12784560 14382630 15021858 19176840 20029144 22532787 23012208 25036430 28765260 30043716 37554645 38353680 40058288 45065574 50072860 57530520 60087432 67598361 75109290 90131148 100145720 112663935 115061040 120174864 135196722 150218580 180262296 200291440 225327870 270393444 300437160 337991805 360524592 450655740 540786888 600874320 675983610 901311480 1081573776 1351967220 1802622960 2703934440 5407868880