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8130675200 = 29527972
BaseRepresentation
bin1111001001010000…
…00100001000000000
3202222122022002120112
413210220010020000
5113122423101300
63422444330452
7405325412264
oct74450041000
922878262515
108130675200
1134a261068a
1216aab43a28
139c763701b
14571ba20a4
15328c0de35
hex1e4a04200

8130675200 has 90 divisors (see below), whose sum is σ = 20169689991. Its totient is φ = 3248189440.

The previous prime is 8130675199. The next prime is 8130675227. The reversal of 8130675200 is 25760318.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 2809848064 + 5320827136 = 53008^2 + 72944^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=63760.

It is a super-2 number, since 2×81306752002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10201202 + ... + 10201998.

Almost surely, 28130675200 is an apocalyptic number.

8130675200 is a gapful number since it is divisible by the number (80) 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 8130675200

8130675200 is an abundant number, since it is smaller than the sum of its proper divisors (12039014791).

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

8130675200 is an frugal number, since it uses more digits than its factorization.

8130675200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 8130675200 is about 90170.2567369085. The cubic root of 8130675200 is about 2010.8308405684.

Multiplying 8130675200 by its sum of digits (32), we get a square (260181606400 = 5100802).

8130675200 divided by its sum of digits (32) gives a square (254083600 = 159402).

The spelling of 8130675200 in words is "eight billion, one hundred thirty million, six hundred seventy-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 256 320 400 512 640 797 800 1280 1594 1600 2560 3188 3200 3985 6376 6400 7970 12752 12800 15940 19925 25504 31880 39850 51008 63760 79700 102016 127520 159400 204032 255040 318800 408064 510080 635209 637600 1020160 1270418 1275200 2040320 2540836 2550400 3176045 5081672 5100800 6352090 10163344 10201600 12704180 15880225 20326688 25408360 31760450 40653376 50816720 63520900 81306752 101633440 127041800 162613504 203266880 254083600 325227008 406533760 508167200 813067520 1016334400 1626135040 2032668800 4065337600 8130675200