Search a number
-
+
104050440 = 23335137411
BaseRepresentation
bin1100011001110…
…10111100001000
321020210022101000
412030322330020
5203114103230
614154055000
72402262024
oct614727410
9236708330
10104050440
11538086aa
122aa1a460
1318731310
14db67384
159204b60
hex633af08

104050440 has 128 divisors (see below), whose sum is σ = 373564800. Its totient is φ = 25608960.

The previous prime is 104050439. The next prime is 104050451. The reversal of 104050440 is 44050401.

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

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, 10335 + ... + 17745.

It is an arithmetic number, because the mean of its divisors is an integer number (2918475).

Almost surely, 2104050440 is an apocalyptic number.

104050440 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 104050440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186782400).

104050440 is an abundant number, since it is smaller than the sum of its proper divisors (269514360).

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

104050440 is a wasteful number, since it uses less digits than its factorization.

104050440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7444 (or 7434 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 104050440 is about 10200.5117518681. The cubic root of 104050440 is about 470.3429517447.

The spelling of 104050440 in words is "one hundred four million, fifty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 65 72 78 90 104 108 117 120 130 135 156 180 195 216 234 260 270 312 351 360 390 468 520 540 585 702 780 936 1080 1170 1404 1560 1755 2340 2808 3510 4680 7020 7411 14040 14822 22233 29644 37055 44466 59288 66699 74110 88932 96343 111165 133398 148220 177864 192686 200097 222330 266796 289029 296440 333495 385372 400194 444660 481715 533592 578058 666990 770744 800388 867087 889320 963430 1000485 1156116 1333980 1445145 1600776 1734174 1926860 2000970 2312232 2601261 2667960 2890290 3468348 3853720 4001940 4335435 5202522 5780580 6936696 8003880 8670870 10405044 11561160 13006305 17341740 20810088 26012610 34683480 52025220 104050440