Search a number
-
+
119213952 = 27311132167
BaseRepresentation
bin1110001101100…
…00111110000000
322022022200210120
413012300332000
5221004321302
615455100240
72645205354
oct706607600
9268280716
10119213952
1161325230
1233b11680
131b910200
1411b93464
15a6ec9bc
hex71b0f80

119213952 has 192 divisors, whose sum is σ = 376306560. Its totient is φ = 33146880.

The previous prime is 119213929. The next prime is 119213981. The reversal of 119213952 is 259312911.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 713773 + ... + 713939.

It is an arithmetic number, because the mean of its divisors is an integer number (1959930).

Almost surely, 2119213952 is an apocalyptic number.

119213952 is a gapful number since it is divisible by the number (12) 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 119213952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188153280).

119213952 is an abundant number, since it is smaller than the sum of its proper divisors (257092608).

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

119213952 is a wasteful number, since it uses less digits than its factorization.

119213952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 196 counting only the distinct ones).

The product of its digits is 4860, while the sum is 33.

The square root of 119213952 is about 10918.5141846315. The cubic root of 119213952 is about 492.1630763532.

The spelling of 119213952 in words is "one hundred nineteen million, two hundred thirteen thousand, nine hundred fifty-two".