Search a number
-
+
1248219136 = 2121943373
BaseRepresentation
bin100101001100110…
…0101000000000000
310012222202002202101
41022121211000000
510024021003021
6323505400144
742634454563
oct11231450000
93188662671
101248219136
1159065056a
122aa039054
1316b7a8108
14bbac24da
15748b2a91
hex4a665000

1248219136 has 104 divisors (see below), whose sum is σ = 2695821920. Its totient is φ = 575963136.

The previous prime is 1248219113. The next prime is 1248219229. The reversal of 1248219136 is 6319128421.

It is a super-2 number, since 2×12482191362 = 3116102022953172992, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1248219095 and 1248219104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3346246 + ... + 3346618.

Almost surely, 21248219136 is an apocalyptic number.

1248219136 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 1248219136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1347910960).

1248219136 is an abundant number, since it is smaller than the sum of its proper divisors (1447602784).

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

1248219136 is an equidigital number, since it uses as much as digits as its factorization.

1248219136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 437 counting only the distinct ones).

The product of its digits is 20736, while the sum is 37.

The square root of 1248219136 is about 35330.1448624259. The cubic root of 1248219136 is about 1076.7055345243.

The spelling of 1248219136 in words is "one billion, two hundred forty-eight million, two hundred nineteen thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 19 32 38 43 64 76 86 128 152 172 256 304 344 373 512 608 688 746 817 1024 1216 1376 1492 1634 2048 2432 2752 2984 3268 4096 4864 5504 5968 6536 7087 9728 11008 11936 13072 14174 16039 19456 22016 23872 26144 28348 32078 38912 44032 47744 52288 56696 64156 77824 88064 95488 104576 113392 128312 176128 190976 209152 226784 256624 304741 381952 418304 453568 513248 609482 763904 836608 907136 1026496 1218964 1527808 1673216 1814272 2052992 2437928 3346432 3628544 4105984 4875856 7257088 8211968 9751712 14514176 16423936 19503424 29028352 32847872 39006848 65695744 78013696 156027392 312054784 624109568 1248219136