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119608992 = 25322914321
BaseRepresentation
bin1110010000100…
…01011010100000
322100001202200200
413020101122200
5221104441432
615511345200
72651442156
oct710213240
9270052620
10119608992
1161575008
1234082200
131ba1ac69
1411c573d6
15a779a7c
hex72116a0

119608992 has 72 divisors (see below), whose sum is σ = 351891540. Its totient is φ = 38492160.

The previous prime is 119608961. The next prime is 119608999. The reversal of 119608992 is 299806911.

It can be written as a sum of positive squares in 2 ways, for example, as 107246736 + 12362256 = 10356^2 + 3516^2 .

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 (119608999) 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, 1192 + ... + 15512.

Almost surely, 2119608992 is an apocalyptic number.

119608992 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 119608992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175945770).

119608992 is an abundant number, since it is smaller than the sum of its proper divisors (232282548).

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

119608992 is a wasteful number, since it uses less digits than its factorization.

119608992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14366 (or 14355 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 45.

The square root of 119608992 is about 10936.5895963961. The cubic root of 119608992 is about 492.7061049113.

The spelling of 119608992 in words is "one hundred nineteen million, six hundred eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 4176 8352 14321 28642 42963 57284 85926 114568 128889 171852 229136 257778 343704 415309 458272 515556 687408 830618 1031112 1245927 1374816 1661236 2062224 2491854 3322472 3737781 4124448 4983708 6644944 7475562 9967416 13289888 14951124 19934832 29902248 39869664 59804496 119608992