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5420520500 = 225329312389
BaseRepresentation
bin1010000110001011…
…01001010000110100
3111222202122222020112
411003011221100310
542100123124000
62253512322152
7251216443523
oct50305512064
914882588215
105420520500
11233181930a
1210733a3358
136850064a5
14395c884ba
1521ad20235
hex143169434

5420520500 has 144 divisors (see below), whose sum is σ = 12686965200. Its totient is φ = 2020704000.

The previous prime is 5420520493. The next prime is 5420520503. The reversal of 5420520500 is 50250245.

It can be written as a sum of positive squares in 8 ways, for example, as 2423395984 + 2997124516 = 49228^2 + 54746^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5420520503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13934306 + ... + 13934694.

It is an arithmetic number, because the mean of its divisors is an integer number (88103925).

Almost surely, 25420520500 is an apocalyptic number.

5420520500 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5420520500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6343482600).

5420520500 is an abundant number, since it is smaller than the sum of its proper divisors (7266444700).

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

5420520500 is a wasteful number, since it uses less digits than its factorization.

5420520500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 23.

The square root of 5420520500 is about 73624.1842060067. The cubic root of 5420520500 is about 1756.6301414935.

Adding to 5420520500 its reverse (50250245), we get a palindrome (5470770745).

The spelling of 5420520500 in words is "five billion, four hundred twenty million, five hundred twenty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 29 31 50 58 62 100 116 124 125 145 155 250 290 310 389 500 580 620 725 775 778 899 961 1450 1550 1556 1798 1922 1945 2900 3100 3596 3625 3844 3875 3890 4495 4805 7250 7750 7780 8990 9610 9725 11281 12059 14500 15500 17980 19220 19450 22475 22562 24025 24118 27869 38900 44950 45124 48050 48236 48625 55738 56405 60295 89900 96100 97250 111476 112375 112810 120125 120590 139345 194500 224750 225620 240250 241180 278690 282025 301475 349711 373829 449500 480500 557380 564050 602950 696725 699422 747658 1128100 1205900 1393450 1398844 1410125 1495316 1507375 1748555 1869145 2786900 2820250 3014750 3483625 3497110 3738290 5640500 6029500 6967250 6994220 7476580 8742775 9345725 10841041 13934500 17485550 18691450 21682082 34971100 37382900 43364164 43713875 46728625 54205205 87427750 93457250 108410410 174855500 186914500 216820820 271026025 542052050 1084104100 1355130125 2710260250 5420520500