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120232140 = 22357833449
BaseRepresentation
bin1110010101010…
…01100011001100
322101020102111020
413022221203030
5221234412030
615532554140
72656646010
oct712514314
9271212436
10120232140
1161960206
1234322950
131bba87a2
1411d7a540
15a84e510
hex72a98cc

120232140 has 96 divisors (see below), whose sum is σ = 389491200. Its totient is φ = 27142656.

The previous prime is 120232111. The next prime is 120232141. The reversal of 120232140 is 41232021.

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

It is not an unprimeable number, because it can be changed into a prime (120232141) 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 31 ways as a sum of consecutive naturals, for example, 33136 + ... + 36584.

It is an arithmetic number, because the mean of its divisors is an integer number (4057200).

Almost surely, 2120232140 is an apocalyptic number.

120232140 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 120232140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194745600).

120232140 is an abundant number, since it is smaller than the sum of its proper divisors (269259060).

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

120232140 is a wasteful number, since it uses less digits than its factorization.

120232140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3551 (or 3549 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 120232140 is about 10965.0417235868. The cubic root of 120232140 is about 493.5602691416.

Adding to 120232140 its reverse (41232021), we get a palindrome (161464161).

The spelling of 120232140 in words is "one hundred twenty million, two hundred thirty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 83 84 105 140 166 210 249 332 415 420 498 581 830 996 1162 1245 1660 1743 2324 2490 2905 3449 3486 4980 5810 6898 6972 8715 10347 11620 13796 17245 17430 20694 24143 34490 34860 41388 48286 51735 68980 72429 96572 103470 120715 144858 206940 241430 286267 289716 362145 482860 572534 724290 858801 1145068 1431335 1448580 1717602 2003869 2862670 3435204 4007738 4294005 5725340 6011607 8015476 8588010 10019345 12023214 17176020 20038690 24046428 30058035 40077380 60116070 120232140