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104015360 = 29541991
BaseRepresentation
bin1100011001100…
…10011000000000
321020201112020202
412030302120000
5203111442420
614153224332
72402054531
oct614623000
9236645222
10104015360
1153794309
122aa020a8
131871b367
14db58688
1591e9575
hex6332600

104015360 has 80 divisors (see below), whose sum is σ = 255733632. Its totient is φ = 40550400.

The previous prime is 104015357. The next prime is 104015363. The reversal of 104015360 is 63510401.

It is an interprime number because it is at equal distance from previous prime (104015357) and next prime (104015363).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104015363) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104465 + ... + 105455.

Almost surely, 2104015360 is an apocalyptic number.

104015360 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 104015360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127866816).

104015360 is an abundant number, since it is smaller than the sum of its proper divisors (151718272).

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

104015360 is an frugal number, since it uses more digits than its factorization.

104015360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1055 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 104015360 is about 10198.7920853403. The cubic root of 104015360 is about 470.2900880076.

Adding to 104015360 its reverse (63510401), we get a palindrome (167525761).

The spelling of 104015360 in words is "one hundred four million, fifteen thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 128 160 164 205 256 320 328 410 512 640 656 820 991 1280 1312 1640 1982 2560 2624 3280 3964 4955 5248 6560 7928 9910 10496 13120 15856 19820 20992 26240 31712 39640 40631 52480 63424 79280 81262 104960 126848 158560 162524 203155 253696 317120 325048 406310 507392 634240 650096 812620 1268480 1300192 1625240 2536960 2600384 3250480 5200768 6500960 10401536 13001920 20803072 26003840 52007680 104015360