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120040140 = 223511239761
BaseRepresentation
bin1110010011110…
…10101011001100
322100212200010010
413021322223030
5221212241030
615524513220
72655216153
oct711725314
9270780103
10120040140
1161839a30
123424b810
131bb3c28c
1411d2a59a
15a8126b0
hex727aacc

120040140 has 96 divisors (see below), whose sum is σ = 368686080. Its totient is φ = 28940800.

The previous prime is 120040127. The next prime is 120040163. The reversal of 120040140 is 41040021.

It is a super-2 number, since 2×1200401402 = 28819270422439200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157360 + ... + 158120.

It is an arithmetic number, because the mean of its divisors is an integer number (3840480).

Almost surely, 2120040140 is an apocalyptic number.

120040140 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 120040140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184343040).

120040140 is an abundant number, since it is smaller than the sum of its proper divisors (248645940).

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

120040140 is a wasteful number, since it uses less digits than its factorization.

120040140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 120040140 is about 10956.2831288718. The cubic root of 120040140 is about 493.2974052644.

Adding to 120040140 its reverse (41040021), we get a palindrome (161080161).

The spelling of 120040140 in words is "one hundred twenty million, forty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 239 330 478 660 717 761 956 1195 1434 1522 2283 2390 2629 2868 3044 3585 3805 4566 4780 5258 7170 7610 7887 8371 9132 10516 11415 13145 14340 15220 15774 16742 22830 25113 26290 31548 33484 39435 41855 45660 50226 52580 78870 83710 100452 125565 157740 167420 181879 251130 363758 502260 545637 727516 909395 1091274 1818790 2000669 2182548 2728185 3637580 4001338 5456370 6002007 8002676 10003345 10912740 12004014 20006690 24008028 30010035 40013380 60020070 120040140