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1319219136 = 2634318209
BaseRepresentation
bin100111010100001…
…1010111111000000
310101221100021110000
41032220122333000
510200210003021
6334523240000
744456114634
oct11650327700
93357307400
101319219136
11617734954
12309979000
13180406b51
14c72c4dc4
157ac39b26
hex4ea1afc0

1319219136 has 140 divisors (see below), whose sum is σ = 4037218240. Its totient is φ = 425502720.

The previous prime is 1319219117. The next prime is 1319219137. The reversal of 1319219136 is 6319129131.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1319219136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1319219137) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 156600 + ... + 164808.

Almost surely, 21319219136 is an apocalyptic number.

1319219136 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 1319219136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2018609120).

1319219136 is an abundant number, since it is smaller than the sum of its proper divisors (2717999104).

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

1319219136 is an equidigital number, since it uses as much as digits as its factorization.

1319219136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8264 (or 8245 counting only the distinct ones).

The product of its digits is 8748, while the sum is 36.

The square root of 1319219136 is about 36321.0563723028. The cubic root of 1319219136 is about 1096.7449603454.

The spelling of 1319219136 in words is "one billion, three hundred nineteen million, two hundred nineteen thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 81 93 96 108 124 144 162 186 192 216 248 279 288 324 372 432 496 558 576 648 744 837 864 992 1116 1296 1488 1674 1728 1984 2232 2511 2592 2976 3348 4464 5022 5184 5952 6696 8209 8928 10044 13392 16418 17856 20088 24627 26784 32836 40176 49254 53568 65672 73881 80352 98508 131344 147762 160704 197016 221643 254479 262688 295524 394032 443286 508958 525376 591048 664929 763437 788064 886572 1017916 1182096 1329858 1526874 1576128 1773144 2035832 2290311 2364192 2659716 3053748 3546288 4071664 4580622 4728384 5319432 6107496 6870933 7092576 8143328 9161244 10638864 12214992 13741866 14185152 16286656 18322488 20612799 21277728 24429984 27483732 36644976 41225598 42555456 48859968 54967464 73289952 82451196 109934928 146579904 164902392 219869856 329804784 439739712 659609568 1319219136