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189496104 = 233747103233
BaseRepresentation
bin10110100101101…
…11101100101000
3111012120101210020
423102313230220
5342002333404
630445320440
74460455530
oct1322675450
9435511706
10189496104
1197a69256
1253566120
133034a295
141b24a4c0
1511981ed9
hexb4b7b28

189496104 has 128 divisors (see below), whose sum is σ = 560701440. Its totient is φ = 52250112.

The previous prime is 189496081. The next prime is 189496133. The reversal of 189496104 is 401694981.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 813172 + ... + 813404.

It is an arithmetic number, because the mean of its divisors is an integer number (4380480).

Almost surely, 2189496104 is an apocalyptic number.

189496104 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 189496104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280350720).

189496104 is an abundant number, since it is smaller than the sum of its proper divisors (371205336).

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

189496104 is a wasteful number, since it uses less digits than its factorization.

189496104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

The square root of 189496104 is about 13765.7583881165. The cubic root of 189496104 is about 574.3810393128.

The spelling of 189496104 in words is "one hundred eighty-nine million, four hundred ninety-six thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 47 56 84 94 103 141 168 188 206 233 282 309 329 376 412 466 564 618 658 699 721 824 932 987 1128 1236 1316 1398 1442 1631 1864 1974 2163 2472 2632 2796 2884 3262 3948 4326 4841 4893 5592 5768 6524 7896 8652 9682 9786 10951 13048 14523 17304 19364 19572 21902 23999 29046 32853 33887 38728 39144 43804 47998 58092 65706 67774 71997 76657 87608 95996 101661 116184 131412 135548 143994 153314 167993 191992 203322 229971 262824 271096 287988 306628 335986 406644 459942 503979 575976 613256 671972 813288 919884 1007958 1127953 1343944 1839768 2015916 2255906 3383859 4031832 4511812 6767718 7895671 9023624 13535436 15791342 23687013 27070872 31582684 47374026 63165368 94748052 189496104