Search a number
-
+
120500224 = 212133173
BaseRepresentation
bin1110010111010…
…11000000000000
322101202001020021
413023223000000
5221322001344
615542423224
72662143415
oct713530000
9271661207
10120500224
1162023669
1234431b14
131bc70810
141200a10c
15a8a3b84
hex72eb000

120500224 has 104 divisors (see below), whose sum is σ = 271548032. Its totient is φ = 53084160.

The previous prime is 120500221. The next prime is 120500227. The reversal of 120500224 is 422005021.

It is an interprime number because it is at equal distance from previous prime (120500221) and next prime (120500227).

It is a tau number, because it is divible by the number of its divisors (104).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 120500198 and 120500207.

It is not an unprimeable number, because it can be changed into a prime (120500221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1650652 + ... + 1650724.

Almost surely, 2120500224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120500224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135774016).

120500224 is an abundant number, since it is smaller than the sum of its proper divisors (151047808).

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

120500224 is an equidigital number, since it uses as much as digits as its factorization.

120500224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 120500224 is about 10977.2594029658. The cubic root of 120500224 is about 493.9268305579.

Adding to 120500224 its reverse (422005021), we get a palindrome (542505245).

The spelling of 120500224 in words is "one hundred twenty million, five hundred thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 73 104 124 128 146 208 248 256 292 403 416 496 512 584 806 832 949 992 1024 1168 1612 1664 1898 1984 2048 2263 2336 3224 3328 3796 3968 4096 4526 4672 6448 6656 7592 7936 9052 9344 12896 13312 15184 15872 18104 18688 25792 26624 29419 30368 31744 36208 37376 51584 53248 58838 60736 63488 72416 74752 103168 117676 121472 126976 144832 149504 206336 235352 242944 289664 299008 412672 470704 485888 579328 825344 941408 971776 1158656 1650688 1882816 1943552 2317312 3765632 3887104 4634624 7531264 9269248 15062528 30125056 60250112 120500224