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189520968 = 233713107811
BaseRepresentation
bin10110100101111…
…01110001001000
3111012121122220010
423102331301020
5342004132333
630450031520
74460621160
oct1322756110
9435548803
10189520968
1197a859aa
12535785a0
13303586b0
141b2555a0
1511989563
hexb4bdc48

189520968 has 128 divisors (see below), whose sum is σ = 589317120. Its totient is φ = 49455360.

The previous prime is 189520931. The next prime is 189520973. The reversal of 189520968 is 869025981.

It is a happy number.

189520968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233283 + ... + 234093.

It is an arithmetic number, because the mean of its divisors is an integer number (4604040).

Almost surely, 2189520968 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 189520968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294658560).

189520968 is an abundant number, since it is smaller than the sum of its proper divisors (399796152).

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

189520968 is a wasteful number, since it uses less digits than its factorization.

189520968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 48.

The square root of 189520968 is about 13766.6614689256. The cubic root of 189520968 is about 574.4061599446.

The spelling of 189520968 in words is "one hundred eighty-nine million, five hundred twenty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 107 156 168 182 214 273 312 321 364 428 546 642 728 749 811 856 1092 1284 1391 1498 1622 2184 2247 2433 2568 2782 2996 3244 4173 4494 4866 5564 5677 5992 6488 8346 8988 9732 9737 10543 11128 11354 16692 17031 17976 19464 19474 21086 22708 29211 31629 33384 34062 38948 42172 45416 58422 63258 68124 73801 77896 84344 86777 116844 126516 136248 147602 173554 221403 233688 253032 260331 295204 347108 442806 520662 590408 607439 694216 885612 1041324 1128101 1214878 1771224 1822317 2082648 2256202 2429756 3384303 3644634 4512404 4859512 6768606 7289268 7896707 9024808 13537212 14578536 15793414 23690121 27074424 31586828 47380242 63173656 94760484 189520968