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104003400 = 23352971787
BaseRepresentation
bin1100011001011…
…11011101001000
321020200220211210
412030233131020
5203111102100
614153053120
72402004624
oct614573510
9236626753
10104003400
1153786326
122a9b71a0
1318715a97
14db54184
1591e5c50
hex632f748

104003400 has 96 divisors (see below), whose sum is σ = 325916640. Its totient is φ = 27432960.

The previous prime is 104003387. The next prime is 104003407. The reversal of 104003400 is 4300401.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (104003407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57307 + ... + 59093.

It is an arithmetic number, because the mean of its divisors is an integer number (3394965).

Almost surely, 2104003400 is an apocalyptic number.

104003400 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 104003400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162958320).

104003400 is an abundant number, since it is smaller than the sum of its proper divisors (221913240).

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

104003400 is a wasteful number, since it uses less digits than its factorization.

104003400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1903 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 104003400 is about 10198.2057245380. The cubic root of 104003400 is about 470.2720621921.

Adding to 104003400 its reverse (4300401), we get a palindrome (108303801).

The spelling of 104003400 in words is "one hundred four million, three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 97 100 120 150 194 200 291 300 388 485 582 600 776 970 1164 1455 1787 1940 2328 2425 2910 3574 3880 4850 5361 5820 7148 7275 8935 9700 10722 11640 14296 14550 17870 19400 21444 26805 29100 35740 42888 44675 53610 58200 71480 89350 107220 134025 173339 178700 214440 268050 346678 357400 520017 536100 693356 866695 1040034 1072200 1386712 1733390 2080068 2600085 3466780 4160136 4333475 5200170 6933560 8666950 10400340 13000425 17333900 20800680 26000850 34667800 52001700 104003400