Search a number
-
+
104998320 = 24325783251
BaseRepresentation
bin1100100001000…
…10010110110000
321022120110121200
412100202112300
5203334421240
614230251200
72413320360
oct620422660
9238513550
10104998320
11542a5879
122b1b6b00
13189a38ab
14dd329a0
159340930
hex64225b0

104998320 has 240 divisors, whose sum is σ = 409473792. Its totient is φ = 23616000.

The previous prime is 104998319. The next prime is 104998331. The reversal of 104998320 is 23899401.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×1049983202 = 22049294405644800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 418195 + ... + 418445.

Almost surely, 2104998320 is an apocalyptic number.

104998320 is a gapful number since it is divisible by the number (10) 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 104998320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204736896).

104998320 is an abundant number, since it is smaller than the sum of its proper divisors (304475472).

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

104998320 is a wasteful number, since it uses less digits than its factorization.

104998320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 104998320 is about 10246.8687900256. The cubic root of 104998320 is about 471.7668819148.

The spelling of 104998320 in words is "one hundred four million, nine hundred ninety-eight thousand, three hundred twenty".