Search a number
-
+
1233125376 = 223372
BaseRepresentation
bin100100110000000…
…0000000000000000
310011221100021000020
41021200000000000
510011140003001
6322210053440
742362251500
oct11140000000
93157307006
101233125376
1158308138a
122a4b7a280
13168621bb2
14b9ab3a00
15733d0736
hex49800000

1233125376 has 144 divisors (see below), whose sum is σ = 3825205020. Its totient is φ = 352321536.

The previous prime is 1233125371. The next prime is 1233125407. The reversal of 1233125376 is 6735213321.

Its product of digits (22680) is a multiple of the sum of its prime divisors (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1233125371) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 176160765 + ... + 176160771.

Almost surely, 21233125376 is an apocalyptic number.

1233125376 is a gapful number since it is divisible by the number (16) 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 1233125376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1912602510).

1233125376 is an abundant number, since it is smaller than the sum of its proper divisors (2592079644).

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

1233125376 is an frugal number, since it uses more digits than its factorization.

1233125376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 12 counting only the distinct ones).

The product of its digits is 22680, while the sum is 33.

The square root of 1233125376 is about 35115.8849525396. The cubic root of 1233125376 is about 1072.3479972147.

Adding to 1233125376 its reverse (6735213321), we get a palindrome (7968338697).

The spelling of 1233125376 in words is "one billion, two hundred thirty-three million, one hundred twenty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 672 768 784 896 1024 1176 1344 1536 1568 1792 2048 2352 2688 3072 3136 3584 4096 4704 5376 6144 6272 7168 8192 9408 10752 12288 12544 14336 16384 18816 21504 24576 25088 28672 32768 37632 43008 49152 50176 57344 65536 75264 86016 98304 100352 114688 131072 150528 172032 196608 200704 229376 262144 301056 344064 393216 401408 458752 524288 602112 688128 786432 802816 917504 1048576 1204224 1376256 1572864 1605632 1835008 2097152 2408448 2752512 3145728 3211264 3670016 4194304 4816896 5505024 6291456 6422528 7340032 8388608 9633792 11010048 12582912 12845056 14680064 19267584 22020096 25165824 25690112 29360128 38535168 44040192 51380224 58720256 77070336 88080384 102760448 154140672 176160768 205520896 308281344 411041792 616562688 1233125376