Search a number
-
+
119909664 = 25327229293
BaseRepresentation
bin1110010010110…
…10110100100000
322100122001010200
413021122310200
5221144102124
615522025200
72654133600
oct711326440
9270561120
10119909664
116175a9a6
12341a8200
131bac4a84
1411cd4c00
15a7d8bc9
hex725ad20

119909664 has 216 divisors, whose sum is σ = 411744060. Its totient is φ = 32965632.

The previous prime is 119909651. The next prime is 119909677. The reversal of 119909664 is 466909911.

It is an interprime number because it is at equal distance from previous prime (119909651) and next prime (119909677).

It can be written as a sum of positive squares in 2 ways, for example, as 110250000 + 9659664 = 10500^2 + 3108^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 409102 + ... + 409394.

Almost surely, 2119909664 is an apocalyptic number.

119909664 is a gapful number since it is divisible by the number (14) 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 119909664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205872030).

119909664 is an abundant number, since it is smaller than the sum of its proper divisors (291834396).

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

119909664 is a wasteful number, since it uses less digits than its factorization.

119909664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 119909664 is about 10950.3271184015. The cubic root of 119909664 is about 493.1186128315.

The spelling of 119909664 in words is "one hundred nineteen million, nine hundred nine thousand, six hundred sixty-four".