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120304002 = 23713217997
BaseRepresentation
bin1110010101110…
…11000110000010
322101101002001210
413022323012002
5221244212002
615534310550
72660365350
oct712730602
9271332053
10120304002
11619aa1a5
1234358456
131bc02400
1411d987d0
15a86596c
hex72bb182

120304002 has 96 divisors (see below), whose sum is σ = 315591552. Its totient is φ = 29832192.

The previous prime is 120304001. The next prime is 120304021. The reversal of 120304002 is 200403021.

It is not an unprimeable number, because it can be changed into a prime (120304001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120168 + ... + 121164.

It is an arithmetic number, because the mean of its divisors is an integer number (3287412).

Almost surely, 2120304002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120304002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157795776).

120304002 is an abundant number, since it is smaller than the sum of its proper divisors (195287550).

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

120304002 is a wasteful number, since it uses less digits than its factorization.

120304002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1039 counting only the distinct ones).

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

The square root of 120304002 is about 10968.3181026081. The cubic root of 120304002 is about 493.6585821884.

Adding to 120304002 its reverse (200403021), we get a palindrome (320707023).

The spelling of 120304002 in words is "one hundred twenty million, three hundred four thousand, two".

Divisors: 1 2 3 6 7 13 14 17 21 26 34 39 42 51 78 91 102 119 169 182 221 238 273 338 357 442 507 546 663 714 997 1014 1183 1326 1547 1994 2366 2873 2991 3094 3549 4641 5746 5982 6979 7098 8619 9282 12961 13958 16949 17238 20111 20937 25922 33898 38883 40222 41874 50847 60333 77766 90727 101694 118643 120666 168493 181454 220337 237286 272181 336986 355929 440674 505479 544362 661011 711858 1010958 1179451 1322022 1542359 2358902 2864381 3084718 3538353 4627077 5728762 7076706 8593143 9254154 17186286 20050667 40101334 60152001 120304002