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5300403840 = 27325920209
BaseRepresentation
bin1001110111110110…
…11011111010000000
3111200101122102011100
410323323123322000
541323400410330
62233542014400
7245230455264
oct47373337200
914611572140
105300403840
11227aa37946
12103b117400
1366616b444
14383d3c0a4
152104e5060
hex13bedbe80

5300403840 has 96 divisors (see below), whose sum is σ = 18302976900. Its totient is φ = 1413439488.

The previous prime is 5300403763. The next prime is 5300403859. The reversal of 5300403840 is 483040035.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5291689536 + 8714304 = 72744^2 + 2952^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 454345 + ... + 465864.

Almost surely, 25300403840 is an apocalyptic number.

It is an amenable number.

5300403840 is an abundant number, since it is smaller than the sum of its proper divisors (13002573060).

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

5300403840 is a wasteful number, since it uses less digits than its factorization.

5300403840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920234 (or 920219 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 5300403840 is about 72803.8724244803. The cubic root of 5300403840 is about 1743.5576831877.

Adding to 5300403840 its reverse (483040035), we get a palindrome (5783443875).

The spelling of 5300403840 in words is "five billion, three hundred million, four hundred three thousand, eight hundred 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 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 920209 1840418 2760627 3680836 4601045 5521254 7361672 8281881 9202090 11042508 13803135 14723344 16563762 18404180 22085016 27606270 29446688 33127524 36808360 41409405 44170032 55212540 58893376 66255048 73616720 82818810 88340064 110425080 117786752 132510096 147233440 165637620 176680128 220850160 265020192 294466880 331275240 353360256 441700320 530040384 588933760 662550480 883400640 1060080768 1325100960 1766801280 2650201920 5300403840