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120010004 = 221719293203
BaseRepresentation
bin1110010011100…
…11010100010100
322100211010202222
413021303110110
5221210310004
615524121512
72655032252
oct711632424
9270733688
10120010004
1161819324
1234236298
131bb2b64a
1411d1d5d2
15a8087be
hex7273514

120010004 has 48 divisors (see below), whose sum is σ = 242222400. Its totient is φ = 51641856.

The previous prime is 120009991. The next prime is 120010019. The reversal of 120010004 is 400010021.

It is a junction number, because it is equal to n+sod(n) for n = 120009973 and 120010000.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 35867 + ... + 39069.

It is an arithmetic number, because the mean of its divisors is an integer number (5046300).

Almost surely, 2120010004 is an apocalyptic number.

It is an amenable number.

120010004 is an abundant number, since it is smaller than the sum of its proper divisors (122212396).

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

120010004 is a wasteful number, since it uses less digits than its factorization.

120010004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3272 (or 3270 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 120010004 is about 10954.9077586258. The cubic root of 120010004 is about 493.2561211439.

Adding to 120010004 its reverse (400010021), we get a palindrome (520020025).

The spelling of 120010004 in words is "one hundred twenty million, ten thousand, four".

Divisors: 1 2 4 17 19 29 34 38 58 68 76 116 323 493 551 646 986 1102 1292 1972 2204 3203 6406 9367 12812 18734 37468 54451 60857 92887 108902 121714 185774 217804 243428 371548 1034569 1579079 1764853 2069138 3158158 3529706 4138276 6316316 7059412 30002501 60005002 120010004