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104158040 = 23574143211
BaseRepresentation
bin1100011010101…
…01001101011000
321020222202222012
412031111031120
5203131024130
614200245052
72403220520
oct615251530
9236882865
10104158040
1153881528
122aa70788
131876b29c
14db94680
159226995
hex6355358

104158040 has 128 divisors (see below), whose sum is σ = 282078720. Its totient is φ = 33868800.

The previous prime is 104158027. The next prime is 104158051. The reversal of 104158040 is 40851401.

It is a junction number, because it is equal to n+sod(n) for n = 104157997 and 104158015.

It is a congruent number.

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, 493535 + ... + 493745.

It is an arithmetic number, because the mean of its divisors is an integer number (2203740).

Almost surely, 2104158040 is an apocalyptic number.

104158040 is a gapful number since it is divisible by the number (10) 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 104158040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141039360).

104158040 is an abundant number, since it is smaller than the sum of its proper divisors (177920680).

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

104158040 is a wasteful number, since it uses less digits than its factorization.

104158040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 23.

The square root of 104158040 is about 10205.7846342160. The cubic root of 104158040 is about 470.5050252753.

The spelling of 104158040 in words is "one hundred four million, one hundred fifty-eight thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 41 43 56 70 82 86 140 164 172 205 211 215 280 287 301 328 344 410 422 430 574 602 820 844 860 1055 1148 1204 1435 1477 1505 1640 1688 1720 1763 2110 2296 2408 2870 2954 3010 3526 4220 5740 5908 6020 7052 7385 8440 8651 8815 9073 11480 11816 12040 12341 14104 14770 17302 17630 18146 24682 29540 34604 35260 36292 43255 45365 49364 59080 60557 61705 63511 69208 70520 72584 86510 90730 98728 121114 123410 127022 173020 181460 242228 246820 254044 302785 317555 346040 362920 371993 484456 493640 508088 605570 635110 743986 1211140 1270220 1487972 1859965 2422280 2540440 2603951 2975944 3719930 5207902 7439860 10415804 13019755 14879720 20831608 26039510 52079020 104158040