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104061420 = 2232517311097
BaseRepresentation
bin1100011001111…
…01100111101100
321020210212102200
412030331213230
5203114431140
614154221500
72402336031
oct614754754
9236725380
10104061420
1153815981
122aa24890
1318736308
14db6b388
159208030
hex633d9ec

104061420 has 144 divisors (see below), whose sum is σ = 345316608. Its totient is φ = 25251840.

The previous prime is 104061409. The next prime is 104061439. The reversal of 104061420 is 24160401.

104061420 is a `hidden beast` number, since 10 + 40 + 614 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 104061393 and 104061402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 94312 + ... + 95408.

It is an arithmetic number, because the mean of its divisors is an integer number (2398032).

Almost surely, 2104061420 is an apocalyptic number.

104061420 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 104061420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172658304).

104061420 is an abundant number, since it is smaller than the sum of its proper divisors (241255188).

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

104061420 is a wasteful number, since it uses less digits than its factorization.

104061420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1155 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 104061420 is about 10201.0499459614. The cubic root of 104061420 is about 470.3594955927.

The spelling of 104061420 in words is "one hundred four million, sixty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 31 34 36 45 51 60 62 68 85 90 93 102 124 153 155 170 180 186 204 255 279 306 310 340 372 465 510 527 558 612 620 765 930 1020 1054 1097 1116 1395 1530 1581 1860 2108 2194 2635 2790 3060 3162 3291 4388 4743 5270 5485 5580 6324 6582 7905 9486 9873 10540 10970 13164 15810 16455 18649 18972 19746 21940 23715 31620 32910 34007 37298 39492 47430 49365 55947 65820 68014 74596 93245 94860 98730 102021 111894 136028 167841 170035 186490 197460 204042 223788 279735 306063 335682 340070 372980 408084 510105 559470 578119 612126 671364 680140 839205 1020210 1118940 1156238 1224252 1530315 1678410 1734357 2040420 2312476 2890595 3060630 3356820 3468714 5203071 5781190 6121260 6937428 8671785 10406142 11562380 17343570 20812284 26015355 34687140 52030710 104061420