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5195040 = 253579137
BaseRepresentation
bin10011110100010100100000
3100202221020220
4103310110200
52312220130
6303203040
762104614
oct23642440
910687226
105195040
112a29124
1218a6480
1310cb7b6
14993344
156c9410
hex4f4520

5195040 has 96 divisors (see below), whose sum is σ = 16692480. Its totient is φ = 1357824.

The previous prime is 5195027. The next prime is 5195063. The reversal of 5195040 is 405915.

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 (24).

It is a zygodrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 5195040.

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, 37852 + ... + 37988.

It is an arithmetic number, because the mean of its divisors is an integer number (173880).

Almost surely, 25195040 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 5195040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8346240).

5195040 is an abundant number, since it is smaller than the sum of its proper divisors (11497440).

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

5195040 is a wasteful number, since it uses less digits than its factorization.

5195040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 5195040 is about 2279.2630387913. The cubic root of 5195040 is about 173.1927196224.

The spelling of 5195040 in words is "five million, one hundred ninety-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 79 80 96 120 137 158 160 237 240 274 316 395 411 474 480 548 632 685 790 822 948 1096 1185 1264 1370 1580 1644 1896 2055 2192 2370 2528 2740 3160 3288 3792 4110 4384 4740 5480 6320 6576 7584 8220 9480 10823 10960 12640 13152 16440 18960 21646 21920 32469 32880 37920 43292 54115 64938 65760 86584 108230 129876 162345 173168 216460 259752 324690 346336 432920 519504 649380 865840 1039008 1298760 1731680 2597520 5195040