Search a number
-
+
126122152 = 23131983769
BaseRepresentation
bin1111000010001…
…11100010101000
322210022200001211
413201013202220
5224241402102
620303122504
73061010032
oct741074250
9283280054
10126122152
1165213492
12362a3434
132018b6c0
1412a70c52
15b1147d7
hex78478a8

126122152 has 64 divisors (see below), whose sum is σ = 271656000. Its totient is φ = 54411264.

The previous prime is 126122149. The next prime is 126122203. The reversal of 126122152 is 251221621.

It is a super-2 number, since 2×1261221522 = 31813594450222208, which contains 22 as substring.

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, 163624 + ... + 164392.

It is an arithmetic number, because the mean of its divisors is an integer number (4244625).

Almost surely, 2126122152 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 126122152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135828000).

126122152 is an abundant number, since it is smaller than the sum of its proper divisors (145533848).

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

126122152 is a wasteful number, since it uses less digits than its factorization.

126122152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 886 counting only the distinct ones).

The product of its digits is 480, while the sum is 22.

The square root of 126122152 is about 11230.4119247693. The cubic root of 126122152 is about 501.4917476186.

Adding to 126122152 its reverse (251221621), we get a palindrome (377343773).

The spelling of 126122152 in words is "one hundred twenty-six million, one hundred twenty-two thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 19 26 38 52 76 83 104 152 166 247 332 494 664 769 988 1079 1538 1577 1976 2158 3076 3154 4316 6152 6308 8632 9997 12616 14611 19994 20501 29222 39988 41002 58444 63827 79976 82004 116888 127654 164008 189943 255308 379886 510616 759772 829751 1212713 1519544 1659502 2425426 3319004 4850852 6638008 9701704 15765269 31530538 63061076 126122152