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5420640 = 253523491
BaseRepresentation
bin10100101011011001100000
3101012101201110
4110223121200
52341430030
6312103320
764034421
oct24533140
911171643
105420640
113072675
121994b40
13117a3a4
14a11648
157211b0
hex52b660

5420640 has 96 divisors (see below), whose sum is σ = 17853696. Its totient is φ = 1379840.

The previous prime is 5420633. The next prime is 5420669. The reversal of 5420640 is 460245.

It is a happy number.

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10795 + ... + 11285.

It is an arithmetic number, because the mean of its divisors is an integer number (185976).

Almost surely, 25420640 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 5420640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8926848).

5420640 is an abundant number, since it is smaller than the sum of its proper divisors (12433056).

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

5420640 is a wasteful number, since it uses less digits than its factorization.

5420640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 5420640 is about 2328.2267930767. The cubic root of 5420640 is about 175.6643050202.

Adding to 5420640 its reverse (460245), we get a palindrome (5880885).

The spelling of 5420640 in words is "five million, four hundred twenty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 69 80 92 96 115 120 138 160 184 230 240 276 345 368 460 480 491 552 690 736 920 982 1104 1380 1473 1840 1964 2208 2455 2760 2946 3680 3928 4910 5520 5892 7365 7856 9820 11040 11293 11784 14730 15712 19640 22586 23568 29460 33879 39280 45172 47136 56465 58920 67758 78560 90344 112930 117840 135516 169395 180688 225860 235680 271032 338790 361376 451720 542064 677580 903440 1084128 1355160 1806880 2710320 5420640