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1329610956 = 2231923318179
BaseRepresentation
bin100111101000000…
…0100000011001100
310102122220020100020
41033100010003030
510210340022311
6335534102140
744643335532
oct11720040314
93378806306
101329610956
11622592433
1231134a950
13182604b5b
14c882c152
157baddc06
hex4f4040cc

1329610956 has 96 divisors (see below), whose sum is σ = 3518054400. Its totient is φ = 388618560.

The previous prime is 1329610943. The next prime is 1329610957. The reversal of 1329610956 is 6590169231.

It is not an unprimeable number, because it can be changed into a prime (1329610957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 158475 + ... + 166653.

It is an arithmetic number, because the mean of its divisors is an integer number (36646400).

Almost surely, 21329610956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1329610956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1759027200).

1329610956 is an abundant number, since it is smaller than the sum of its proper divisors (2188443444).

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

1329610956 is a wasteful number, since it uses less digits than its factorization.

1329610956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8259 (or 8257 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 42.

The square root of 1329610956 is about 36463.8307916214. The cubic root of 1329610956 is about 1099.6172100587.

The spelling of 1329610956 in words is "one billion, three hundred twenty-nine million, six hundred ten thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 12 19 23 31 38 46 57 62 69 76 92 93 114 124 138 186 228 276 372 437 589 713 874 1178 1311 1426 1748 1767 2139 2356 2622 2852 3534 4278 5244 7068 8179 8556 13547 16358 24537 27094 32716 40641 49074 54188 81282 98148 155401 162564 188117 253549 310802 376234 466203 507098 564351 621604 752468 760647 932406 1014196 1128702 1521294 1864812 2257404 3042588 3574223 4817431 5831627 7148446 9634862 10722669 11663254 14296892 14452293 17494881 19269724 21445338 23326508 28904586 34989762 42890676 57809172 69979524 110800913 221601826 332402739 443203652 664805478 1329610956