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103460064 = 2534371353
BaseRepresentation
bin1100010101010…
…10110011100000
321012200022112020
412022222303200
5202441210224
614133301440
72364252561
oct612526340
9235608466
10103460064
1153445094
122a794880
1318585696
14da52168
159139c79
hex62aace0

103460064 has 96 divisors (see below), whose sum is σ = 282610944. Its totient is φ = 33116160.

The previous prime is 103460047. The next prime is 103460069. The reversal of 103460064 is 460064301.

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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (103460069) 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, 292912 + ... + 293264.

It is an arithmetic number, because the mean of its divisors is an integer number (2943864).

Almost surely, 2103460064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103460064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141305472).

103460064 is an abundant number, since it is smaller than the sum of its proper divisors (179150880).

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

103460064 is a wasteful number, since it uses less digits than its factorization.

103460064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 103460064 is about 10171.5320379970. The cubic root of 103460064 is about 469.4516980072.

The spelling of 103460064 in words is "one hundred three million, four hundred sixty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 43 48 71 86 96 129 142 172 213 258 284 344 353 426 516 568 688 706 852 1032 1059 1136 1376 1412 1704 2064 2118 2272 2824 3053 3408 4128 4236 5648 6106 6816 8472 9159 11296 12212 15179 16944 18318 24424 25063 30358 33888 36636 45537 48848 50126 60716 73272 75189 91074 97696 100252 121432 146544 150378 182148 200504 242864 293088 300756 364296 401008 485728 601512 728592 802016 1077709 1203024 1457184 2155418 2406048 3233127 4310836 6466254 8621672 12932508 17243344 25865016 34486688 51730032 103460064