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5370620400 = 2432521491839
BaseRepresentation
bin1010000000001110…
…10010100111110000
3111212021202210011200
411000013102213300
541444334323100
62244531011200
7250042343265
oct50007224760
914767683150
105370620400
112306636662
12105a739b00
136778846c2
1438d3b926c
15216764e00
hex1401d29f0

5370620400 has 90 divisors (see below), whose sum is σ = 18637557120. Its totient is φ = 1432164480.

The previous prime is 5370620369. The next prime is 5370620401. The reversal of 5370620400 is 40260735.

It is a happy number.

5370620400 is a `hidden beast` number, since 5 + 37 + 0 + 620 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5370620401) 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 17 ways as a sum of consecutive naturals, for example, 742320 + ... + 749519.

It is an arithmetic number, because the mean of its divisors is an integer number (207083968).

Almost surely, 25370620400 is an apocalyptic number.

5370620400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5370620400 is an abundant number, since it is smaller than the sum of its proper divisors (13266936720).

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

5370620400 is a wasteful number, since it uses less digits than its factorization.

5370620400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1491863 (or 1491849 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 5370620400 is about 73284.5167821962. The cubic root of 5370620400 is about 1751.2231340268.

The spelling of 5370620400 in words is "five billion, three hundred seventy million, six hundred twenty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 144 150 180 200 225 240 300 360 400 450 600 720 900 1200 1800 3600 1491839 2983678 4475517 5967356 7459195 8951034 11934712 13426551 14918390 17902068 22377585 23869424 26853102 29836780 35804136 37295975 44755170 53706204 59673560 67132755 71608272 74591950 89510340 107412408 111887925 119347120 134265510 149183900 179020680 214824816 223775850 268531020 298367800 335663775 358041360 447551700 537062040 596735600 671327550 895103400 1074124080 1342655100 1790206800 2685310200 5370620400