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119132880 = 24354112107
BaseRepresentation
bin1110001100111…
…01001011010000
322022011120120220
413012131023100
5220444223010
615453233040
72644420116
oct706351320
9268146526
10119132880
116127a329
1233a92780
131b8b2339
1411b71ab6
15a6d3970
hex719d2d0

119132880 has 80 divisors (see below), whose sum is σ = 378350784. Its totient is φ = 30991360.

The previous prime is 119132857. The next prime is 119132887. The reversal of 119132880 is 88231911.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (119132887) by changing a digit.

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, 3787 + ... + 15893.

Almost surely, 2119132880 is an apocalyptic number.

119132880 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 119132880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189175392).

119132880 is an abundant number, since it is smaller than the sum of its proper divisors (259217904).

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

119132880 is a wasteful number, since it uses less digits than its factorization.

119132880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12164 (or 12158 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The square root of 119132880 is about 10914.8009601641. The cubic root of 119132880 is about 492.0514851271.

The spelling of 119132880 in words is "one hundred nineteen million, one hundred thirty-two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 60 80 82 120 123 164 205 240 246 328 410 492 615 656 820 984 1230 1640 1968 2460 3280 4920 9840 12107 24214 36321 48428 60535 72642 96856 121070 145284 181605 193712 242140 290568 363210 484280 496387 581136 726420 968560 992774 1452840 1489161 1985548 2481935 2905680 2978322 3971096 4963870 5956644 7445805 7942192 9927740 11913288 14891610 19855480 23826576 29783220 39710960 59566440 119132880