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119534080 = 29553881
BaseRepresentation
bin1110001111111…
…11001000000000
322022220221221011
413013333020000
5221100042310
615510010304
72651010601
oct707771000
9268827834
10119534080
11615237a6
1234046994
131b9c2b33
1411c37da8
15a76278a
hex71ff200

119534080 has 80 divisors (see below), whose sum is σ = 292340664. Its totient is φ = 46858240.

The previous prime is 119534053. The next prime is 119534083. The reversal of 119534080 is 80435911.

It can be written as a sum of positive squares in 4 ways, for example, as 89415936 + 30118144 = 9456^2 + 5488^2 .

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

It is not an unprimeable number, because it can be changed into a prime (119534083) 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 7 ways as a sum of consecutive naturals, for example, 135240 + ... + 136120.

Almost surely, 2119534080 is an apocalyptic number.

119534080 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 119534080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146170332).

119534080 is an abundant number, since it is smaller than the sum of its proper divisors (172806584).

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

119534080 is an frugal number, since it uses more digits than its factorization.

119534080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 119534080 is about 10933.1642263345. The cubic root of 119534080 is about 492.6032215985.

Adding to 119534080 its reverse (80435911), we get a palindrome (199969991).

The spelling of 119534080 in words is "one hundred nineteen million, five hundred thirty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 128 160 212 256 265 320 424 512 530 640 848 881 1060 1280 1696 1762 2120 2560 3392 3524 4240 4405 6784 7048 8480 8810 13568 14096 16960 17620 27136 28192 33920 35240 46693 56384 67840 70480 93386 112768 135680 140960 186772 225536 233465 281920 373544 451072 466930 563840 747088 933860 1127680 1494176 1867720 2255360 2988352 3735440 5976704 7470880 11953408 14941760 23906816 29883520 59767040 119534080