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120315104 = 2571379523
BaseRepresentation
bin1110010101111…
…01110011100000
322101101122021222
413022331303200
5221300040404
615534434212
72660442620
oct712756340
9271348258
10120315104
1161a07578
1234362968
131bc07490
1411d9c880
15a868dbe
hex72bdce0

120315104 has 96 divisors (see below), whose sum is σ = 295787520. Its totient is φ = 46904832.

The previous prime is 120315089. The next prime is 120315127. The reversal of 120315104 is 401513021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229787 + ... + 230309.

It is an arithmetic number, because the mean of its divisors is an integer number (3081120).

Almost surely, 2120315104 is an apocalyptic number.

120315104 is a gapful number since it is divisible by the number (14) 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 120315104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147893760).

120315104 is an abundant number, since it is smaller than the sum of its proper divisors (175472416).

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

120315104 is a wasteful number, since it uses less digits than its factorization.

120315104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 120315104 is about 10968.8241849343. The cubic root of 120315104 is about 493.6737671335.

Adding to 120315104 its reverse (401513021), we get a palindrome (521828125).

The spelling of 120315104 in words is "one hundred twenty million, three hundred fifteen thousand, one hundred four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 79 91 104 112 158 182 208 224 316 364 416 523 553 632 728 1027 1046 1106 1264 1456 2054 2092 2212 2528 2912 3661 4108 4184 4424 6799 7189 7322 8216 8368 8848 13598 14378 14644 16432 16736 17696 27196 28756 29288 32864 41317 47593 54392 57512 58576 82634 95186 108784 115024 117152 165268 190372 217568 230048 289219 330536 380744 537121 578438 661072 761488 1074242 1156876 1322144 1522976 2148484 2313752 3759847 4296968 4627504 7519694 8593936 9255008 15039388 17187872 30078776 60157552 120315104