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104581440 = 2632536313
BaseRepresentation
bin1100011101111…
…00100101000000
321021210021202200
412032330211000
5203233101230
614213313200
72406633105
oct616744500
9237707680
10104581440
1154040647
122b035800
1318888c12
14dc64aac
1592ac160
hex63bc940

104581440 has 84 divisors (see below), whose sum is σ = 359726484. Its totient is φ = 27887616.

The previous prime is 104581429. The next prime is 104581469. The reversal of 104581440 is 44185401.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 24443136 + 80138304 = 4944^2 + 8952^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15277 + ... + 21036.

Almost surely, 2104581440 is an apocalyptic number.

104581440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

104581440 is an abundant number, since it is smaller than the sum of its proper divisors (255145044).

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

104581440 is a wasteful number, since it uses less digits than its factorization.

104581440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36336 (or 36323 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 104581440 is about 10226.5067349511. The cubic root of 104581440 is about 471.1416940182.

The spelling of 104581440 in words is "one hundred four million, five hundred eighty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 36313 72626 108939 145252 181565 217878 290504 326817 363130 435756 544695 581008 653634 726260 871512 1089390 1162016 1307268 1452520 1634085 1743024 2178780 2324032 2614536 2905040 3268170 3486048 4357560 5229072 5810080 6536340 6972096 8715120 10458144 11620160 13072680 17430240 20916288 26145360 34860480 52290720 104581440