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5420505040 = 245415331181
BaseRepresentation
bin1010000110001011…
…00101011111010000
3111222202122012000221
411003011211133100
542100122130130
62253512122424
7251216350456
oct50305453720
914882565027
105420505040
112331808735
121073396414
13684ccc442
14395c829d6
1521ad1a87a
hex1431657d0

5420505040 has 80 divisors (see below), whose sum is σ = 13154064336. Its totient is φ = 2075340800.

The previous prime is 5420505037. The next prime is 5420505047. The reversal of 5420505040 is 405050245.

It can be written as a sum of positive squares in 8 ways, for example, as 1505750416 + 3914754624 = 38804^2 + 62568^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 5420504996 and 5420505014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5420505047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 158250 + ... + 189430.

Almost surely, 25420505040 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 5420505040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6577032168).

5420505040 is an abundant number, since it is smaller than the sum of its proper divisors (7733559296).

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

5420505040 is a wasteful number, since it uses less digits than its factorization.

5420505040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31288 (or 31282 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 25.

The square root of 5420505040 is about 73624.0792132574. The cubic root of 5420505040 is about 1756.6284714493.

Adding to 5420505040 its reverse (405050245), we get a palindrome (5825555285).

The spelling of 5420505040 in words is "five billion, four hundred twenty million, five hundred five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 41 53 80 82 106 164 205 212 265 328 410 424 530 656 820 848 1060 1640 2120 2173 3280 4240 4346 8692 10865 17384 21730 31181 34768 43460 62362 86920 124724 155905 173840 249448 311810 498896 623620 1247240 1278421 1652593 2494480 2556842 3305186 5113684 6392105 6610372 8262965 10227368 12784210 13220744 16525930 20454736 25568420 26441488 33051860 51136840 66103720 67756313 102273680 132207440 135512626 271025252 338781565 542050504 677563130 1084101008 1355126260 2710252520 5420505040