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120542040 = 23335239467
BaseRepresentation
bin1110010111101…
…01001101011000
322101211011121000
413023311031120
5221324321130
615543345000
72662406343
oct713651530
9271734530
10120542040
1162052023
1234452160
131bc86868
141201b45a
15a8b1260
hex72f5358

120542040 has 128 divisors (see below), whose sum is σ = 404352000. Its totient is φ = 31941504.

The previous prime is 120542017. The next prime is 120542069. The reversal of 120542040 is 40245021.

120542040 is a `hidden beast` number, since 1 + 205 + 420 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 257887 + ... + 258353.

It is an arithmetic number, because the mean of its divisors is an integer number (3159000).

Almost surely, 2120542040 is an apocalyptic number.

120542040 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 120542040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202176000).

120542040 is an abundant number, since it is smaller than the sum of its proper divisors (283809960).

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

120542040 is a wasteful number, since it uses less digits than its factorization.

120542040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 120542040 is about 10979.1639025929. The cubic root of 120542040 is about 493.9839581300.

Adding to 120542040 its reverse (40245021), we get a palindrome (160787061).

The spelling of 120542040 in words is "one hundred twenty million, five hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 239 270 360 467 478 540 717 934 956 1080 1195 1401 1434 1868 1912 2151 2335 2390 2802 2868 3585 3736 4203 4302 4670 4780 5604 5736 6453 7005 7170 8406 8604 9340 9560 10755 11208 12609 12906 14010 14340 16812 17208 18680 21015 21510 25218 25812 28020 28680 32265 33624 42030 43020 50436 51624 56040 63045 64530 84060 86040 100872 111613 126090 129060 168120 223226 252180 258120 334839 446452 504360 558065 669678 892904 1004517 1116130 1339356 1674195 2009034 2232260 2678712 3013551 3348390 4018068 4464520 5022585 6027102 6696780 8036136 10045170 12054204 13393560 15067755 20090340 24108408 30135510 40180680 60271020 120542040