Search a number
-
+
119553460 = 22513676863
BaseRepresentation
bin1110010000000…
…11110110110100
322022221221111221
413020003312310
5221101202320
615510240124
72651121235
oct710036664
9268857457
10119553460
1161537314
1234056044
131b9cb8c0
1411c4108c
15a7683aa
hex7203db4

119553460 has 48 divisors (see below), whose sum is σ = 274450176. Its totient is φ = 43477632.

The previous prime is 119553437. The next prime is 119553493. The reversal of 119553460 is 64355911.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13989 + ... + 20851.

It is an arithmetic number, because the mean of its divisors is an integer number (5717712).

Almost surely, 2119553460 is an apocalyptic number.

119553460 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 119553460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137225088).

119553460 is an abundant number, since it is smaller than the sum of its proper divisors (154896716).

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

119553460 is a wasteful number, since it uses less digits than its factorization.

119553460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6952 (or 6950 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 34.

The square root of 119553460 is about 10934.0504846100. The cubic root of 119553460 is about 492.6298419971.

The spelling of 119553460 in words is "one hundred nineteen million, five hundred fifty-three thousand, four hundred sixty".

Divisors: 1 2 4 5 10 13 20 26 52 65 67 130 134 260 268 335 670 871 1340 1742 3484 4355 6863 8710 13726 17420 27452 34315 68630 89219 137260 178438 356876 446095 459821 892190 919642 1784380 1839284 2299105 4598210 5977673 9196420 11955346 23910692 29888365 59776730 119553460