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5210414040 = 2335133340009
BaseRepresentation
bin1001101101001000…
…01001101111011000
3111110010022110100210
410312210021233120
541132331222130
62221005131120
7243055534326
oct46644115730
914403273323
105210414040
112234163207
121014b59aa0
13650621040
14375dd4d16
1520766b5b0
hex136909bd8

5210414040 has 64 divisors (see below), whose sum is σ = 16833650400. Its totient is φ = 1282563072.

The previous prime is 5210414009. The next prime is 5210414057. The reversal of 5210414040 is 404140125.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 5210413998 and 5210414016.

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, 1668445 + ... + 1671564.

Almost surely, 25210414040 is an apocalyptic number.

It is an amenable number.

5210414040 is an abundant number, since it is smaller than the sum of its proper divisors (11623236360).

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

5210414040 is a wasteful number, since it uses less digits than its factorization.

5210414040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3340036 (or 3340032 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 5210414040 is about 72183.1977679016. The cubic root of 5210414040 is about 1733.6339841732.

Adding to 5210414040 its reverse (404140125), we get a palindrome (5614554165).

The spelling of 5210414040 in words is "five billion, two hundred ten million, four hundred fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 3340009 6680018 10020027 13360036 16700045 20040054 26720072 33400090 40080108 43420117 50100135 66800180 80160216 86840234 100200270 130260351 133600360 173680468 200400540 217100585 260520702 347360936 400801080 434201170 521041404 651301755 868402340 1042082808 1302603510 1736804680 2605207020 5210414040