Search a number
-
+
120560720 = 2457461467
BaseRepresentation
bin1110010111110…
…01110001010000
322101212010012212
413023321301100
5221330420340
615544011252
72662514660
oct713716120
9271763185
10120560720
1162065065
1234460b28
131bc92207
14120241a0
15a8b6a65
hex72f9c50

120560720 has 80 divisors (see below), whose sum is σ = 321729408. Its totient is φ = 41157120.

The previous prime is 120560711. The next prime is 120560723. The reversal of 120560720 is 27065021.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120560723) 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, 257927 + ... + 258393.

Almost surely, 2120560720 is an apocalyptic number.

120560720 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 120560720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160864704).

120560720 is an abundant number, since it is smaller than the sum of its proper divisors (201168688).

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

120560720 is a wasteful number, since it uses less digits than its factorization.

120560720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

The square root of 120560720 is about 10980.0145719393. The cubic root of 120560720 is about 494.0094738303.

The spelling of 120560720 in words is "one hundred twenty million, five hundred sixty thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 461 467 560 922 934 1844 1868 2305 2335 3227 3269 3688 3736 4610 4670 6454 6538 7376 7472 9220 9340 12908 13076 16135 16345 18440 18680 25816 26152 32270 32690 36880 37360 51632 52304 64540 65380 129080 130760 215287 258160 261520 430574 861148 1076435 1507009 1722296 2152870 3014018 3444592 4305740 6028036 7535045 8611480 12056072 15070090 17222960 24112144 30140180 60280360 120560720