Search a number
-
+
104478192 = 243272131767
BaseRepresentation
bin1100011101000…
…11010111110000
321021121001010200
412032203113300
5203221300232
614211155200
72406023100
oct616432760
9237531120
10104478192
1153a80015
122aba5b00
1318850c20
14dc39200
15928b77c
hex63a35f0

104478192 has 360 divisors, whose sum is σ = 393631056. Its totient is φ = 25546752.

The previous prime is 104478191. The next prime is 104478193. The reversal of 104478192 is 291874401.

It is an interprime number because it is at equal distance from previous prime (104478191) and next prime (104478193).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104478191) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1559343 + ... + 1559409.

Almost surely, 2104478192 is an apocalyptic number.

104478192 is a gapful number since it is divisible by the number (12) 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 104478192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196815528).

104478192 is an abundant number, since it is smaller than the sum of its proper divisors (289152864).

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

104478192 is a wasteful number, since it uses less digits than its factorization.

104478192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 104478192 is about 10221.4574303276. The cubic root of 104478192 is about 470.9865981284.

The spelling of 104478192 in words is "one hundred four million, four hundred seventy-eight thousand, one hundred ninety-two".