Search a number
-
+
120532960 = 25519311279
BaseRepresentation
bin1110010111100…
…10111111100000
322101210201010201
413023302333200
5221324023320
615543234544
72662341022
oct713627740
9271721121
10120532960
1162046219
1234448a54
131bc826a2
1412018012
15a8ad70a
hex72f2fe0

120532960 has 96 divisors (see below), whose sum is σ = 309657600. Its totient is φ = 44167680.

The previous prime is 120532943. The next prime is 120533003. The reversal of 120532960 is 69235021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93601 + ... + 94879.

It is an arithmetic number, because the mean of its divisors is an integer number (3225600).

Almost surely, 2120532960 is an apocalyptic number.

120532960 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 120532960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154828800).

120532960 is an abundant number, since it is smaller than the sum of its proper divisors (189124640).

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

120532960 is a wasteful number, since it uses less digits than its factorization.

120532960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1344 (or 1336 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 120532960 is about 10978.7503842651. The cubic root of 120532960 is about 493.9715544713.

Adding to 120532960 its reverse (69235021), we get a palindrome (189767981).

The spelling of 120532960 in words is "one hundred twenty million, five hundred thirty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 19 20 31 32 38 40 62 76 80 95 124 152 155 160 190 248 304 310 380 496 589 608 620 760 992 1178 1240 1279 1520 2356 2480 2558 2945 3040 4712 4960 5116 5890 6395 9424 10232 11780 12790 18848 20464 23560 24301 25580 39649 40928 47120 48602 51160 79298 94240 97204 102320 121505 158596 194408 198245 204640 243010 317192 388816 396490 486020 634384 753331 777632 792980 972040 1268768 1506662 1585960 1944080 3013324 3171920 3766655 3888160 6026648 6343840 7533310 12053296 15066620 24106592 30133240 60266480 120532960