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120736140 = 223571571831
BaseRepresentation
bin1110011001001…
…00100110001100
322102012000211220
413030210212030
5221402024030
615551443340
72664145260
oct714444614
9272160756
10120736140
1162174938
1234526550
131c024005
141206c0a0
15a8eda10
hex732498c

120736140 has 96 divisors (see below), whose sum is σ = 389028864. Its totient is φ = 27406080.

The previous prime is 120736129. The next prime is 120736153. The reversal of 120736140 is 41637021.

It is a self number, because there is not a number n which added to its sum of digits gives 120736140.

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, 65025 + ... + 66855.

It is an arithmetic number, because the mean of its divisors is an integer number (4052384).

Almost surely, 2120736140 is an apocalyptic number.

120736140 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 120736140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194514432).

120736140 is an abundant number, since it is smaller than the sum of its proper divisors (268292724).

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

120736140 is a wasteful number, since it uses less digits than its factorization.

120736140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2007 (or 2005 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 120736140 is about 10987.9998179833. Note that the first 3 decimals coincide. The cubic root of 120736140 is about 494.2489579817.

The spelling of 120736140 in words is "one hundred twenty million, seven hundred thirty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 157 210 314 420 471 628 785 942 1099 1570 1831 1884 2198 2355 3140 3297 3662 4396 4710 5493 5495 6594 7324 9155 9420 10986 10990 12817 13188 16485 18310 21972 21980 25634 27465 32970 36620 38451 51268 54930 64085 65940 76902 109860 128170 153804 192255 256340 287467 384510 574934 769020 862401 1149868 1437335 1724802 2012269 2874670 3449604 4024538 4312005 5749340 6036807 8049076 8624010 10061345 12073614 17248020 20122690 24147228 30184035 40245380 60368070 120736140