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119920164 = 223713193569
BaseRepresentation
bin1110010010111…
…01011000100100
322100122120112120
413021131120210
5221144421124
615522145540
72654206320
oct711353044
9270576476
10119920164
1161767881
12341b22b0
131bac97a0
1411cd8980
15a7dbd79
hex725d624

119920164 has 96 divisors (see below), whose sum is σ = 346778880. Its totient is φ = 31408128.

The previous prime is 119920139. The next prime is 119920181. The reversal of 119920164 is 461029911.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 210472 + ... + 211040.

It is an arithmetic number, because the mean of its divisors is an integer number (3612280).

Almost surely, 2119920164 is an apocalyptic number.

119920164 is a gapful number since it is divisible by the number (14) 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 119920164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173389440).

119920164 is an abundant number, since it is smaller than the sum of its proper divisors (226858716).

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

119920164 is a wasteful number, since it uses less digits than its factorization.

119920164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 787 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 119920164 is about 10950.8065456385. The cubic root of 119920164 is about 493.1330058730.

The spelling of 119920164 in words is "one hundred nineteen million, nine hundred twenty thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 193 273 364 386 546 569 579 772 1092 1138 1158 1351 1707 2276 2316 2509 2702 3414 3983 4053 5018 5404 6828 7397 7527 7966 8106 10036 11949 14794 15054 15932 16212 17563 22191 23898 29588 30108 35126 44382 47796 51779 52689 70252 88764 103558 105378 109817 155337 207116 210756 219634 310674 329451 439268 621348 658902 768719 1317804 1427621 1537438 2306157 2855242 3074876 4282863 4612314 5710484 8565726 9224628 9993347 17131452 19986694 29980041 39973388 59960082 119920164