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120534240 = 25351511663
BaseRepresentation
bin1110010111100…
…11010011100000
322101210202220010
413023303103200
5221324043430
615543244520
72662344531
oct713632340
9271722803
10120534240
1162047182
1234449740
131bc83148
1412018688
15a8adcb0
hex72f34e0

120534240 has 96 divisors (see below), whose sum is σ = 382427136. Its totient is φ = 31910400.

The previous prime is 120534229. The next prime is 120534247. The reversal of 120534240 is 42435021.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120534247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71649 + ... + 73311.

It is an arithmetic number, because the mean of its divisors is an integer number (3983616).

Almost surely, 2120534240 is an apocalyptic number.

120534240 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 120534240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191213568).

120534240 is an abundant number, since it is smaller than the sum of its proper divisors (261892896).

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

120534240 is a wasteful number, since it uses less digits than its factorization.

120534240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1832 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 120534240 is about 10978.8086785407. The cubic root of 120534240 is about 493.9733030424.

Adding to 120534240 its reverse (42435021), we get a palindrome (162969261).

The spelling of 120534240 in words is "one hundred twenty million, five hundred thirty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 151 160 240 302 453 480 604 755 906 1208 1510 1663 1812 2265 2416 3020 3326 3624 4530 4832 4989 6040 6652 7248 8315 9060 9978 12080 13304 14496 16630 18120 19956 24160 24945 26608 33260 36240 39912 49890 53216 66520 72480 79824 99780 133040 159648 199560 251113 266080 399120 502226 753339 798240 1004452 1255565 1506678 2008904 2511130 3013356 3766695 4017808 5022260 6026712 7533390 8035616 10044520 12053424 15066780 20089040 24106848 30133560 40178080 60267120 120534240