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119380896 = 25321992083
BaseRepresentation
bin1110001110110…
…01101110100000
322022122011210200
413013121232200
5221030142041
615502425200
72646502155
oct707315640
9268564720
10119380896
11614296a8
1233b92200
131b96b1ab
1411bd822c
15a7321b6
hex71d9ba0

119380896 has 72 divisors (see below), whose sum is σ = 341359200. Its totient is φ = 39574656.

The previous prime is 119380853. The next prime is 119380897. The reversal of 119380896 is 698083911.

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

It is not an unprimeable number, because it can be changed into a prime (119380897) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 56271 + ... + 58353.

It is an arithmetic number, because the mean of its divisors is an integer number (4741100).

Almost surely, 2119380896 is an apocalyptic number.

119380896 is a gapful number since it is divisible by the number (16) 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 119380896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170679600).

119380896 is an abundant number, since it is smaller than the sum of its proper divisors (221978304).

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

119380896 is a wasteful number, since it uses less digits than its factorization.

119380896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2298 (or 2287 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 119380896 is about 10926.1565062926. The cubic root of 119380896 is about 492.3927064924.

The spelling of 119380896 in words is "one hundred nineteen million, three hundred eighty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 199 288 398 597 796 1194 1592 1791 2083 2388 3184 3582 4166 4776 6249 6368 7164 8332 9552 12498 14328 16664 18747 19104 24996 28656 33328 37494 49992 57312 66656 74988 99984 149976 199968 299952 414517 599904 829034 1243551 1658068 2487102 3316136 3730653 4974204 6632272 7461306 9948408 13264544 14922612 19896816 29845224 39793632 59690448 119380896