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5520404640 = 253511879689
BaseRepresentation
bin1010010010000101…
…01011000010100000
3112020201121121112010
411021002223002200
542301210422030
62311441232520
7253541444112
oct51102530240
915221547463
105520404640
112383140793
1210a0932740
1369c90932a
143a52493b2
152249a06b0
hex1490ab0a0

5520404640 has 96 divisors (see below), whose sum is σ = 17405720640. Its totient is φ = 1470715904.

The previous prime is 5520404627. The next prime is 5520404663. The reversal of 5520404640 is 464040255.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 5520404598 and 5520404607.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 564916 + ... + 574604.

It is an arithmetic number, because the mean of its divisors is an integer number (181309590).

Almost surely, 25520404640 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 5520404640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8702860320).

5520404640 is an abundant number, since it is smaller than the sum of its proper divisors (11885316000).

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

5520404640 is a wasteful number, since it uses less digits than its factorization.

5520404640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10894 (or 10886 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 5520404640 is about 74299.4255697849. The cubic root of 5520404640 is about 1767.3543672902.

Adding to 5520404640 its reverse (464040255), we get a palindrome (5984444895).

The spelling of 5520404640 in words is "five billion, five hundred twenty million, four hundred four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1187 2374 3561 4748 5935 7122 9496 9689 11870 14244 17805 18992 19378 23740 28488 29067 35610 37984 38756 47480 48445 56976 58134 71220 77512 94960 96890 113952 116268 142440 145335 155024 189920 193780 232536 284880 290670 310048 387560 465072 569760 581340 775120 930144 1162680 1550240 2325360 4650720 11500843 23001686 34502529 46003372 57504215 69005058 92006744 115008430 138010116 172512645 184013488 230016860 276020232 345025290 368026976 460033720 552040464 690050580 920067440 1104080928 1380101160 1840134880 2760202320 5520404640