[go: up one dir, main page]

Search a number
-
+
12505152 = 2631131191
BaseRepresentation
bin101111101101…
…000001000000
3212112022211210
4233231001000
511200131102
61124010120
7211202112
oct57550100
925468753
1012505152
117071340
124230940
13278abca
1419373b2
15117036c
hexbed040

12505152 has 112 divisors (see below), whose sum is σ = 37453824. Its totient is φ = 3648000.

The previous prime is 12505151. The next prime is 12505189. The reversal of 12505152 is 25150521.

12505152 is nontrivially palindromic in base 7.

It is not an unprimeable number, because it can be changed into a prime (12505151) 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, 65377 + ... + 65567.

Almost surely, 212505152 is an apocalyptic number.

12505152 is a gapful number since it is divisible by the number (12) 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 12505152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18726912).

12505152 is an abundant number, since it is smaller than the sum of its proper divisors (24948672).

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

12505152 is a wasteful number, since it uses less digits than its factorization.

12505152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 21.

The square root of 12505152 is about 3536.2624337003. The cubic root of 12505152 is about 232.1113219220. Note that the first 3 decimals are identical.

Adding to 12505152 its reverse (25150521), we get a palindrome (37655673).

The spelling of 12505152 in words is "twelve million, five hundred five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 64 66 88 93 96 124 132 176 186 191 192 248 264 341 352 372 382 496 528 573 682 704 744 764 992 1023 1056 1146 1364 1488 1528 1984 2046 2101 2112 2292 2728 2976 3056 4092 4202 4584 5456 5921 5952 6112 6303 8184 8404 9168 10912 11842 12224 12606 16368 16808 17763 18336 21824 23684 25212 32736 33616 35526 36672 47368 50424 65131 65472 67232 71052 94736 100848 130262 134464 142104 189472 195393 201696 260524 284208 378944 390786 403392 521048 568416 781572 1042096 1136832 1563144 2084192 3126288 4168384 6252576 12505152