Search a number
-
+
119299104 = 25324011033
BaseRepresentation
bin1110001110001…
…01110000100000
322022111000121100
413013011300200
5221020032404
615500554400
72646011541
oct707056040
9268430540
10119299104
1161383201
1233b52a00
131b93cbb2
1411bb64c8
15a717d39
hex71c5c20

119299104 has 72 divisors (see below), whose sum is σ = 340432092. Its totient is φ = 39628800.

The previous prime is 119299087. The next prime is 119299109. The reversal of 119299104 is 401992911.

It can be written as a sum of positive squares in 2 ways, for example, as 76527504 + 42771600 = 8748^2 + 6540^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (119299109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 114972 + ... + 116004.

Almost surely, 2119299104 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 119299104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170216046).

119299104 is an abundant number, since it is smaller than the sum of its proper divisors (221132988).

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

119299104 is a wasteful number, since it uses less digits than its factorization.

119299104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1450 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The square root of 119299104 is about 10922.4129202297. The cubic root of 119299104 is about 492.2802290169.

The spelling of 119299104 in words is "one hundred nineteen million, two hundred ninety-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 401 802 1033 1203 1604 2066 2406 3099 3208 3609 4132 4812 6198 6416 7218 8264 9297 9624 12396 12832 14436 16528 18594 19248 24792 28872 33056 37188 38496 49584 57744 74376 99168 115488 148752 297504 414233 828466 1242699 1656932 2485398 3313864 3728097 4970796 6627728 7456194 9941592 13255456 14912388 19883184 29824776 39766368 59649552 119299104