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1329268220 = 225731793877
BaseRepresentation
bin100111100111011…
…0000010111111100
310102122020211012022
41033032300113330
510210243040340
6335522455312
744640410360
oct11716602774
93378224168
101329268220
11622378985
12311204538
13182514b57
14c877d2a0
157ba723b5
hex4f3b05fc

1329268220 has 96 divisors (see below), whose sum is σ = 3335700480. Its totient is φ = 435352320.

The previous prime is 1329268217. The next prime is 1329268247. The reversal of 1329268220 is 228629231.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 340922 + ... + 344798.

It is an arithmetic number, because the mean of its divisors is an integer number (34746880).

Almost surely, 21329268220 is an apocalyptic number.

1329268220 is a gapful number since it is divisible by the number (10) 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 1329268220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1667850240).

1329268220 is an abundant number, since it is smaller than the sum of its proper divisors (2006432260).

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

1329268220 is a wasteful number, since it uses less digits than its factorization.

1329268220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4003 (or 4001 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 1329268220 is about 36459.1308179446. The cubic root of 1329268220 is about 1099.5227185611.

The spelling of 1329268220 in words is "one billion, three hundred twenty-nine million, two hundred sixty-eight thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 62 70 79 124 140 155 158 217 310 316 395 434 553 620 790 868 1085 1106 1580 2170 2212 2449 2765 3877 4340 4898 5530 7754 9796 11060 12245 15508 17143 19385 24490 27139 34286 38770 48980 54278 68572 77540 85715 108556 120187 135695 171430 240374 271390 306283 342860 480748 542780 600935 612566 841309 1201870 1225132 1531415 1682618 2143981 2403740 3062830 3365236 4206545 4287962 6125660 8413090 8575924 9494773 10719905 16826180 18989546 21439810 37979092 42879620 47473865 66463411 94947730 132926822 189895460 265853644 332317055 664634110 1329268220