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5219040 = 253583131
BaseRepresentation
bin10011111010001011100000
3100211011011210
4103322023200
52314002130
6303510120
762234601
oct23721340
910734153
105219040
112a45162
1218b8340
1311096b8
1499bda8
156d15b0
hex4fa2e0

5219040 has 96 divisors (see below), whose sum is σ = 16765056. Its totient is φ = 1364480.

The previous prime is 5219009. The next prime is 5219047. The reversal of 5219040 is 409125.

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

It is a junction number, because it is equal to n+sod(n) for n = 5218998 and 5219016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5219047) 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, 39775 + ... + 39905.

It is an arithmetic number, because the mean of its divisors is an integer number (174636).

Almost surely, 25219040 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 5219040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8382528).

5219040 is an abundant number, since it is smaller than the sum of its proper divisors (11546016).

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

5219040 is a wasteful number, since it uses less digits than its factorization.

5219040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 5219040 is about 2284.5218318064. The cubic root of 5219040 is about 173.4590146997.

The spelling of 5219040 in words is "five million, two hundred nineteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 83 96 120 131 160 166 240 249 262 332 393 415 480 498 524 655 664 786 830 996 1048 1245 1310 1328 1572 1660 1965 1992 2096 2490 2620 2656 3144 3320 3930 3984 4192 4980 5240 6288 6640 7860 7968 9960 10480 10873 12576 13280 15720 19920 20960 21746 31440 32619 39840 43492 54365 62880 65238 86984 108730 130476 163095 173968 217460 260952 326190 347936 434920 521904 652380 869840 1043808 1304760 1739680 2609520 5219040