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119291904 = 21432809
BaseRepresentation
bin1110001110001…
…00000000000000
322022110122201200
413013010000000
5221014320104
615500501200
72645651544
oct707040000
9268418650
10119291904
1161378856
1233b4a800
131b939834
1411bb3a24
15a715b39
hex71c4000

119291904 has 90 divisors (see below), whose sum is σ = 345036510. Its totient is φ = 39714816.

The previous prime is 119291903. The next prime is 119291917. The reversal of 119291904 is 409192911.

It can be written as a sum of positive squares in only one way, i.e., 115605504 + 3686400 = 10752^2 + 1920^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (119291903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 147052 + ... + 147860.

It is an arithmetic number, because the mean of its divisors is an integer number (3833739).

Almost surely, 2119291904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 119291904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172518255).

119291904 is an abundant number, since it is smaller than the sum of its proper divisors (225744606).

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

119291904 is an frugal number, since it uses more digits than its factorization.

119291904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 843 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The square root of 119291904 is about 10922.0833177558. The cubic root of 119291904 is about 492.2703253690.

It can be divided in two parts, 1192 and 91904, that added together give a triangular number (93096 = T431).

The spelling of 119291904 in words is "one hundred nineteen million, two hundred ninety-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 809 1024 1152 1536 1618 2048 2304 2427 3072 3236 4096 4608 4854 6144 6472 7281 8192 9216 9708 12288 12944 14562 16384 18432 19416 24576 25888 29124 36864 38832 49152 51776 58248 73728 77664 103552 116496 147456 155328 207104 232992 310656 414208 465984 621312 828416 931968 1242624 1656832 1863936 2485248 3313664 3727872 4970496 6627328 7455744 9940992 13254656 14911488 19881984 29822976 39763968 59645952 119291904