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5405885540 = 22511212891733
BaseRepresentation
bin1010000100011011…
…10100010001100100
3111221202010102211222
411002031310101210
542032401314130
62252230515512
7250651161146
oct50215642144
914852112758
105405885540
112324532900
12106a505b98
13681c81053
14393d58c96
152198cdce5
hex142374464

5405885540 has 72 divisors (see below), whose sum is σ = 12495099960. Its totient is φ = 1963118080.

The previous prime is 5405885531. The next prime is 5405885581. The reversal of 5405885540 is 455885045.

It can be written as a sum of positive squares in 4 ways, for example, as 1073086564 + 4332798976 = 32758^2 + 65824^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 5405885491 and 5405885500.

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 23 ways as a sum of consecutive naturals, for example, 3118514 + ... + 3120246.

It is an arithmetic number, because the mean of its divisors is an integer number (173543055).

Almost surely, 25405885540 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 5405885540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6247549980).

5405885540 is an abundant number, since it is smaller than the sum of its proper divisors (7089214420).

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

5405885540 is a wasteful number, since it uses less digits than its factorization.

5405885540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3053 (or 3040 counting only the distinct ones).

The product of its (nonzero) digits is 640000, while the sum is 44.

The square root of 5405885540 is about 73524.7274051390. The cubic root of 5405885540 is about 1755.0477975527.

The spelling of 5405885540 in words is "five billion, four hundred five million, eight hundred eighty-five thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 121 220 242 484 605 1210 1289 1733 2420 2578 3466 5156 6445 6932 8665 12890 14179 17330 19063 25780 28358 34660 38126 56716 70895 76252 95315 141790 155969 190630 209693 283580 311938 381260 419386 623876 779845 838772 1048465 1559690 2096930 2233837 3119380 4193860 4467674 8935348 11169185 22338370 24572207 44676740 49144414 98288828 122861035 245722070 270294277 491444140 540588554 1081177108 1351471385 2702942770 5405885540