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1164830172 = 22311411012131
BaseRepresentation
bin100010101101101…
…1110010111011100
310000011211111121020
41011123132113130
54341144031142
6311330204140
740602615222
oct10533362734
93004744536
101164830172
11548575170
12286123650
1315742c32c
14b09b6b12
156c3decec
hex456de5dc

1164830172 has 96 divisors (see below), whose sum is σ = 3068851968. Its totient is φ = 340800000.

The previous prime is 1164830129. The next prime is 1164830179. The reversal of 1164830172 is 2710384611.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1164830179) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 545547 + ... + 547677.

It is an arithmetic number, because the mean of its divisors is an integer number (31967208).

Almost surely, 21164830172 is an apocalyptic number.

1164830172 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 1164830172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534425984).

1164830172 is an abundant number, since it is smaller than the sum of its proper divisors (1904021796).

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

1164830172 is a wasteful number, since it uses less digits than its factorization.

1164830172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2291 (or 2289 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 1164830172 is about 34129.6084360779. The cubic root of 1164830172 is about 1052.1739304337.

The spelling of 1164830172 in words is "one billion, one hundred sixty-four million, eight hundred thirty thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 101 123 132 164 202 246 303 404 451 492 606 902 1111 1212 1353 1804 2131 2222 2706 3333 4141 4262 4444 5412 6393 6666 8282 8524 12423 12786 13332 16564 23441 24846 25572 45551 46882 49692 70323 87371 91102 93764 136653 140646 174742 182204 215231 262113 273306 281292 349484 430462 524226 546612 645693 860924 961081 1048452 1291386 1922162 2367541 2582772 2883243 3844324 4735082 5766486 7102623 8824471 9470164 11532972 14205246 17648942 26473413 28410492 35297884 52946826 97069181 105893652 194138362 291207543 388276724 582415086 1164830172