Search a number
-
+
78143400 = 23335229499
BaseRepresentation
bin1001010100001…
…01111110101000
312110001002121000
410222011332220
5130001042100
611430515000
71636131216
oct452057650
9173032530
1078143400
1140123325
1222205a60
13132602ca
14a541cb6
156cd8900
hex4a85fa8

78143400 has 192 divisors, whose sum is σ = 279000000. Its totient is φ = 20079360.

The previous prime is 78143389. The next prime is 78143419. The reversal of 78143400 is 434187.

It is a super-2 number, since 2×781434002 = 12212781927120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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, 156351 + ... + 156849.

It is an arithmetic number, because the mean of its divisors is an integer number (1453125).

Almost surely, 278143400 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 78143400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139500000).

78143400 is an abundant number, since it is smaller than the sum of its proper divisors (200856600).

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

78143400 is a wasteful number, since it uses less digits than its factorization.

78143400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 78143400 is about 8839.8755647351. The cubic root of 78143400 is about 427.5275451627.

Adding to 78143400 its reverse (434187), we get a palindrome (78577587).

The spelling of 78143400 in words is "seventy-eight million, one hundred forty-three thousand, four hundred".