Search a number
-
+
120015920 = 24517229179
BaseRepresentation
bin1110010011101…
…00110000110000
322100211102220002
413021310300300
5221211002140
615524205132
72655055433
oct711646060
9270742802
10120015920
1161822812
12342397a8
131bb3124b
1411d2181a
15a80a415
hex7274c30

120015920 has 120 divisors (see below), whose sum is σ = 308350800. Its totient is φ = 43380736.

The previous prime is 120015919. The next prime is 120015941. The reversal of 120015920 is 29510021.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 120015892 and 120015901.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 670391 + ... + 670569.

It is an arithmetic number, because the mean of its divisors is an integer number (2569590).

Almost surely, 2120015920 is an apocalyptic number.

120015920 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 120015920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154175400).

120015920 is an abundant number, since it is smaller than the sum of its proper divisors (188334880).

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

120015920 is a wasteful number, since it uses less digits than its factorization.

120015920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The square root of 120015920 is about 10955.1777712641. The cubic root of 120015920 is about 493.2642261773.

Adding to 120015920 its reverse (29510021), we get a palindrome (149525941).

The spelling of 120015920 in words is "one hundred twenty million, fifteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 29 34 40 58 68 80 85 116 136 145 170 179 232 272 289 290 340 358 464 493 578 580 680 716 895 986 1156 1160 1360 1432 1445 1790 1972 2312 2320 2465 2864 2890 3043 3580 3944 4624 4930 5191 5780 6086 7160 7888 8381 9860 10382 11560 12172 14320 15215 16762 19720 20764 23120 24344 25955 30430 33524 39440 41528 41905 48688 51731 51910 60860 67048 83056 83810 88247 103462 103820 121720 134096 167620 176494 206924 207640 243440 258655 335240 352988 413848 415280 441235 517310 670480 705976 827696 882470 1034620 1411952 1500199 1764940 2069240 3000398 3529880 4138480 6000796 7059760 7500995 12001592 15001990 24003184 30003980 60007960 120015920