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190139616 = 2533312229
BaseRepresentation
bin10110101010101…
…00110011100000
3111020210002112000
423111110303200
5342133431431
630511204000
74466105622
oct1325246340
9436702460
10190139616
1198368787
1253816600
1330514164
141b376c12
1511a5c9e6
hexb554ce0

190139616 has 144 divisors (see below), whose sum is σ = 575542800. Its totient is φ = 61067520.

The previous prime is 190139569. The next prime is 190139617. The reversal of 190139616 is 616931091.

190139616 is a `hidden beast` number, since 1 + 9 + 0 + 1 + 39 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190139617) 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 23 ways as a sum of consecutive naturals, for example, 830190 + ... + 830418.

It is an arithmetic number, because the mean of its divisors is an integer number (3996825).

Almost surely, 2190139616 is an apocalyptic number.

190139616 is a gapful number since it is divisible by the number (16) 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 190139616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287771400).

190139616 is an abundant number, since it is smaller than the sum of its proper divisors (385403184).

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

190139616 is a wasteful number, since it uses less digits than its factorization.

190139616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 190139616 is about 13789.1122266809. The cubic root of 190139616 is about 575.0304871044.

The spelling of 190139616 in words is "one hundred ninety million, one hundred thirty-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 93 96 108 124 144 186 216 229 248 279 288 372 432 458 496 558 687 744 837 864 916 961 992 1116 1374 1488 1674 1832 1922 2061 2232 2748 2883 2976 3348 3664 3844 4122 4464 5496 5766 6183 6696 7099 7328 7688 8244 8649 8928 10992 11532 12366 13392 14198 15376 16488 17298 21297 21984 23064 24732 25947 26784 28396 30752 32976 34596 42594 46128 49464 51894 56792 63891 65952 69192 85188 92256 98928 103788 113584 127782 138384 170376 191673 197856 207576 220069 227168 255564 276768 340752 383346 415152 440138 511128 660207 681504 766692 830304 880276 1022256 1320414 1533384 1760552 1980621 2044512 2640828 3066768 3521104 3961242 5281656 5941863 6133536 7042208 7922484 10563312 11883726 15844968 21126624 23767452 31689936 47534904 63379872 95069808 190139616