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120008040 = 23358312049
BaseRepresentation
bin1110010011100…
…10110101101000
322100211001002020
413021302311220
5221210224130
615524104440
72655023445
oct711626550
9270731066
10120008040
11618178a9
1234235120
131bb2a799
1411d1c9cc
15a807e10
hex7272d68

120008040 has 64 divisors (see below), whose sum is σ = 364392000. Its totient is φ = 31613952.

The previous prime is 120008039. The next prime is 120008051. The reversal of 120008040 is 40800021.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 3936 + ... + 15984.

It is an arithmetic number, because the mean of its divisors is an integer number (5693625).

Almost surely, 2120008040 is an apocalyptic number.

120008040 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 120008040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182196000).

120008040 is an abundant number, since it is smaller than the sum of its proper divisors (244383960).

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

120008040 is a wasteful number, since it uses less digits than its factorization.

120008040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12146 (or 12142 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 120008040 is about 10954.8181180702. The cubic root of 120008040 is about 493.2534303674.

Adding to 120008040 its reverse (40800021), we get a palindrome (160808061).

The spelling of 120008040 in words is "one hundred twenty million, eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 83 120 166 249 332 415 498 664 830 996 1245 1660 1992 2490 3320 4980 9960 12049 24098 36147 48196 60245 72294 96392 120490 144588 180735 240980 289176 361470 481960 722940 1000067 1445880 2000134 3000201 4000268 5000335 6000402 8000536 10000670 12000804 15001005 20001340 24001608 30002010 40002680 60004020 120008040