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5401483560 = 23325112124001
BaseRepresentation
bin1010000011111010…
…00001100100101000
3111221102211210110200
411001331001210220
542030234433220
62251552312200
7250565565324
oct50175014450
914842753420
105401483560
112321aa6600
121068b42660
1368109c525
14393530984
1521930e890
hex141f41928

5401483560 has 144 divisors (see below), whose sum is σ = 19295951220. Its totient is φ = 1309440000.

The previous prime is 5401483531. The next prime is 5401483583. The reversal of 5401483560 is 653841045.

It is a happy number.

5401483560 is a `hidden beast` number, since 5 + 4 + 0 + 14 + 83 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5184864036 + 216619524 = 72006^2 + 14718^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 18441 + ... + 105560.

Almost surely, 25401483560 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 5401483560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9647975610).

5401483560 is an abundant number, since it is smaller than the sum of its proper divisors (13894467660).

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

5401483560 is a wasteful number, since it uses less digits than its factorization.

5401483560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124040 (or 124022 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5401483560 is about 73494.7859375072. The cubic root of 5401483560 is about 1754.5712932446.

The spelling of 5401483560 in words is "five billion, four hundred one million, four hundred eighty-three thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 30 33 36 40 44 45 55 60 66 72 88 90 99 110 120 121 132 165 180 198 220 242 264 330 360 363 396 440 484 495 605 660 726 792 968 990 1089 1210 1320 1452 1815 1980 2178 2420 2904 3630 3960 4356 4840 5445 7260 8712 10890 14520 21780 43560 124001 248002 372003 496004 620005 744006 992008 1116009 1240010 1364011 1488012 1860015 2232018 2480020 2728022 2976024 3720030 4092033 4464036 4960040 5456044 5580045 6820055 7440060 8184066 8928072 10912088 11160090 12276099 13640110 14880120 15004121 16368132 20460165 22320180 24552198 27280220 30008242 32736264 40920330 44640360 45012363 49104396 54560440 60016484 61380495 75020605 81840660 90024726 98208792 120032968 122760990 135037089 150041210 163681320 180049452 225061815 245521980 270074178 300082420 360098904 450123630 491043960 540148356 600164840 675185445 900247260 1080296712 1350370890 1800494520 2700741780 5401483560