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1329797088 = 2535295897
BaseRepresentation
bin100111101000011…
…0001011111100000
310102200020200200000
41033100301133200
510210412001323
6335542100000
744645042304
oct11720613740
93380220600
101329797088
116226aa264
1231141a600
1318266b7a9
14c8879d04
157bb28e43
hex4f4317e0

1329797088 has 144 divisors (see below), whose sum is σ = 4057588080. Its totient is φ = 427908096.

The previous prime is 1329797087. The next prime is 1329797101. The reversal of 1329797088 is 8807979231.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1329797087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 222556 + ... + 228452.

It is an arithmetic number, because the mean of its divisors is an integer number (28177695).

Almost surely, 21329797088 is an apocalyptic number.

1329797088 is a gapful number since it is divisible by the number (18) 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 1329797088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2028794040).

1329797088 is an abundant number, since it is smaller than the sum of its proper divisors (2727790992).

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

1329797088 is an equidigital number, since it uses as much as digits as its factorization.

1329797088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5951 (or 5931 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 54.

The square root of 1329797088 is about 36466.3829848807. The cubic root of 1329797088 is about 1099.6685194034.

The spelling of 1329797088 in words is "one billion, three hundred twenty-nine million, seven hundred ninety-seven thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 72 81 87 96 108 116 144 162 174 216 232 243 261 288 324 348 432 464 486 522 648 696 783 864 928 972 1044 1296 1392 1566 1944 2088 2349 2592 2784 3132 3888 4176 4698 5897 6264 7047 7776 8352 9396 11794 12528 14094 17691 18792 23588 25056 28188 35382 37584 47176 53073 56376 70764 75168 94352 106146 112752 141528 159219 171013 188704 212292 225504 283056 318438 342026 424584 477657 513039 566112 636876 684052 849168 955314 1026078 1273752 1368104 1432971 1539117 1698336 1910628 2052156 2547504 2736208 2865942 3078234 3821256 4104312 4617351 5095008 5472416 5731884 6156468 7642512 8208624 9234702 11463768 12312936 13852053 15285024 16417248 18469404 22927536 24625872 27704106 36938808 41556159 45855072 49251744 55408212 73877616 83112318 110816424 147755232 166224636 221632848 332449272 443265696 664898544 1329797088