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104483040 = 25351091997
BaseRepresentation
bin1100011101001…
…00100011100000
321021121021210020
412032210203200
5203221424130
614211233440
72406043164
oct616444340
9237537706
10104483040
1153a83722
122aba8880
13188531ac
14dc3aca4
15928ce10
hex63a48e0

104483040 has 96 divisors (see below), whose sum is σ = 332307360. Its totient is φ = 27592704.

The previous prime is 104483011. The next prime is 104483053. The reversal of 104483040 is 40384401.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 104483040.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51322 + ... + 53318.

It is an arithmetic number, because the mean of its divisors is an integer number (3461535).

Almost surely, 2104483040 is an apocalyptic number.

104483040 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 104483040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166153680).

104483040 is an abundant number, since it is smaller than the sum of its proper divisors (227824320).

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

104483040 is a wasteful number, since it uses less digits than its factorization.

104483040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 104483040 is about 10221.6945757541. The cubic root of 104483040 is about 470.9938829269.

The spelling of 104483040 in words is "one hundred four million, four hundred eighty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 109 120 160 218 240 327 436 480 545 654 872 1090 1308 1635 1744 1997 2180 2616 3270 3488 3994 4360 5232 5991 6540 7988 8720 9985 10464 11982 13080 15976 17440 19970 23964 26160 29955 31952 39940 47928 52320 59910 63904 79880 95856 119820 159760 191712 217673 239640 319520 435346 479280 653019 870692 958560 1088365 1306038 1741384 2176730 2612076 3265095 3482768 4353460 5224152 6530190 6965536 8706920 10448304 13060380 17413840 20896608 26120760 34827680 52241520 104483040