Search a number
94371840 = 221325
BaseRepresentation
bin1011010000000…
…00000000000000
320120120120211100
411220000000000
5143124344330
613210414400
72224101363
oct550000000
9216516740
1094371840
11492a7a62
1227731400
1316722b34
14c7680da
158442060
hex5a00000

94371840 has 132 divisors (see below), whose sum is σ = 327155634. Its totient is φ = 25165824.

The previous prime is 94371833. The next prime is 94371863. The reversal of 94371840 is 4817349.

It is a happy number.

It is a Jordan-Polya number, since it can be written as 6! ⋅ (2!)17.

It can be written as a sum of positive squares in only one way, i.e., 84934656 + 9437184 = 9216^2 + 3072^2 .

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

It is a nialpdrome in base 8.

It is a zygodrome in base 4 and base 8.

It is a junction number, because it is equal to n+sod(n) for n = 94371795 and 94371804.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18874366 + ... + 18874370.

Almost surely, 294371840 is an apocalyptic number.

94371840 is a gapful number since it is divisible by the number (90) 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 94371840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163577817).

94371840 is an abundant number, since it is smaller than the sum of its proper divisors (232783794).

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

94371840 is an frugal number, since it uses more digits than its factorization.

94371840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 94371840 is about 9714.5169720373. The cubic root of 94371840 is about 455.2823429747.

The spelling of 94371840 in words is "ninety-four million, three hundred seventy-one thousand, eight hundred forty".