Search a number
-
+
78100000 = 25551171
BaseRepresentation
bin1001010011110…
…11011000100000
312102221220001121
410221323120200
5124443200000
611425542024
71635560536
oct451733040
9172856047
1078100000
11400a3760
12221a4914
1313246624
14a530156
156ccab1a
hex4a7b620

78100000 has 144 divisors (see below), whose sum is σ = 212611392. Its totient is φ = 28000000.

The previous prime is 78099991. The next prime is 78100003. The reversal of 78100000 is 187.

It is a super-2 number, since 2×781000002 = 12199220000000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (78100003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1099965 + ... + 1100035.

It is an arithmetic number, because the mean of its divisors is an integer number (1476468).

Almost surely, 278100000 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 78100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106305696).

78100000 is an abundant number, since it is smaller than the sum of its proper divisors (134511392).

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

78100000 is an equidigital number, since it uses as much as digits as its factorization.

78100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 78100000 is about 8837.4204381143. The cubic root of 78100000 is about 427.4483824458.

78100000 divided by its sum of digits (16) gives a triangular number (4881250 = T3124).

Adding to 78100000 its reverse (187), we get a palindrome (78100187).

The spelling of 78100000 in words is "seventy-eight million, one hundred thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 71 80 88 100 110 125 142 160 176 200 220 250 275 284 352 355 400 440 500 550 568 625 710 781 800 880 1000 1100 1136 1250 1375 1420 1562 1760 1775 2000 2200 2272 2500 2750 2840 3124 3125 3550 3905 4000 4400 5000 5500 5680 6248 6250 6875 7100 7810 8800 8875 10000 11000 11360 12496 12500 13750 14200 15620 17750 19525 20000 22000 24992 25000 27500 28400 31240 34375 35500 39050 44000 44375 50000 55000 56800 62480 68750 71000 78100 88750 97625 100000 110000 124960 137500 142000 156200 177500 195250 220000 221875 275000 284000 312400 355000 390500 443750 488125 550000 624800 710000 781000 887500 976250 1100000 1420000 1562000 1775000 1952500 2440625 3124000 3550000 3905000 4881250 7100000 7810000 9762500 15620000 19525000 39050000 78100000