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5590480 = 245767149
BaseRepresentation
bin10101010100110111010000
3101112000200211
4111110313100
52412343410
6315453504
765342530
oct25246720
911460624
105590480
113179235
121a57294
13120979c
14a574c0
1575668a
hex554dd0

5590480 has 80 divisors (see below), whose sum is σ = 15177600. Its totient is φ = 1875456.

The previous prime is 5590471. The next prime is 5590483. The reversal of 5590480 is 840955.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5590483) by changing a digit.

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, 37446 + ... + 37594.

It is an arithmetic number, because the mean of its divisors is an integer number (189720).

Almost surely, 25590480 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 5590480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7588800).

5590480 is an abundant number, since it is smaller than the sum of its proper divisors (9587120).

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

5590480 is a wasteful number, since it uses less digits than its factorization.

5590480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The square root of 5590480 is about 2364.4195905126. The cubic root of 5590480 is about 177.4801141512.

The spelling of 5590480 in words is "five million, five hundred ninety thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 67 70 80 112 134 140 149 268 280 298 335 469 536 560 596 670 745 938 1043 1072 1192 1340 1490 1876 2086 2345 2384 2680 2980 3752 4172 4690 5215 5360 5960 7504 8344 9380 9983 10430 11920 16688 18760 19966 20860 37520 39932 41720 49915 69881 79864 83440 99830 139762 159728 199660 279524 349405 399320 559048 698810 798640 1118096 1397620 2795240 5590480