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10104480 = 253352339
BaseRepresentation
bin100110100010…
…111010100000
3201000100202000
4212202322200
510041320410
61000324000
7151613061
oct46427240
921010660
1010104480
115781711
123473600
13212a2a9
1414b0568
15d48dc0
hex9a2ea0

10104480 has 96 divisors (see below), whose sum is σ = 35380800. Its totient is φ = 2693376.

The previous prime is 10104461. The next prime is 10104487. The reversal of 10104480 is 8440101.

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 (18).

It is not an unprimeable number, because it can be changed into a prime (10104487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3151 + ... + 5489.

It is an arithmetic number, because the mean of its divisors is an integer number (368550).

Almost surely, 210104480 is an apocalyptic number.

10104480 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 10104480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17690400).

10104480 is an abundant number, since it is smaller than the sum of its proper divisors (25276320).

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

10104480 is a wasteful number, since it uses less digits than its factorization.

10104480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2363 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 10104480 is about 3178.7544730602. The cubic root of 10104480 is about 216.1911887473.

Adding to 10104480 its reverse (8440101), we get a palindrome (18544581).

It can be divided in two parts, 101044 and 80, that added together give a square (101124 = 3182).

The spelling of 10104480 in words is "ten million, one hundred four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 2339 4320 4678 7017 9356 11695 14034 18712 21051 23390 28068 35085 37424 42102 46780 56136 63153 70170 74848 84204 93560 105255 112272 126306 140340 168408 187120 210510 224544 252612 280680 315765 336816 374240 421020 505224 561360 631530 673632 842040 1010448 1122720 1263060 1684080 2020896 2526120 3368160 5052240 10104480