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5207040 = 210325113
BaseRepresentation
bin10011110111010000000000
3100210112201100
4103313100000
52313111130
6303334400
762154606
oct23672000
910715640
105207040
112a37143
1218b1400
1311040b7
14997876
156ccc60
hex4f7400

5207040 has 132 divisors (see below), whose sum is σ = 18201924. Its totient is φ = 1376256.

The previous prime is 5207023. The next prime is 5207071. The reversal of 5207040 is 407025.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 746496 + 4460544 = 864^2 + 2112^2 .

It is a super-2 number, since 2×52070402 = 54226531123200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46024 + ... + 46136.

Almost surely, 25207040 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 5207040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9100962).

5207040 is an abundant number, since it is smaller than the sum of its proper divisors (12994884).

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

5207040 is a wasteful number, since it uses less digits than its factorization.

5207040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 5207040 is about 2281.8939502089. The cubic root of 5207040 is about 173.3259694439.

The spelling of 5207040 in words is "five million, two hundred seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 113 120 128 144 160 180 192 226 240 256 288 320 339 360 384 452 480 512 565 576 640 678 720 768 904 960 1017 1024 1130 1152 1280 1356 1440 1536 1695 1808 1920 2034 2260 2304 2560 2712 2880 3072 3390 3616 3840 4068 4520 4608 5085 5120 5424 5760 6780 7232 7680 8136 9040 9216 10170 10848 11520 13560 14464 15360 16272 18080 20340 21696 23040 27120 28928 32544 36160 40680 43392 46080 54240 57856 65088 72320 81360 86784 108480 115712 130176 144640 162720 173568 216960 260352 289280 325440 347136 433920 520704 578560 650880 867840 1041408 1301760 1735680 2603520 5207040