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2729492080 = 245724316193
BaseRepresentation
bin1010001010110000…
…1011111001110000
321001020000120020021
42202230023321300
521042222221310
61130502253224
7124432204600
oct24254137160
97036016207
102729492080
1111807aa887
12642127214
13346641493
141bc70cc00
1510e95d5da
hexa2b0be70

2729492080 has 120 divisors (see below), whose sum is σ = 7554306672. Its totient is φ = 914006016.

The previous prime is 2729492011. The next prime is 2729492081. The reversal of 2729492080 is 802949272.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2729492081) 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, 160464 + ... + 176656.

Almost surely, 22729492080 is an apocalyptic number.

2729492080 is a gapful number since it is divisible by the number (20) 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 2729492080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3777153336).

2729492080 is an abundant number, since it is smaller than the sum of its proper divisors (4824814592).

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

2729492080 is a wasteful number, since it uses less digits than its factorization.

2729492080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16263 (or 16250 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 43.

The square root of 2729492080 is about 52244.5411502484. The cubic root of 2729492080 is about 1397.5283054677.

The spelling of 2729492080 in words is "two billion, seven hundred twenty-nine million, four hundred ninety-two thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 43 49 56 70 80 86 98 112 140 172 196 215 245 280 301 344 392 430 490 560 602 688 784 860 980 1204 1505 1720 1960 2107 2408 3010 3440 3920 4214 4816 6020 8428 10535 12040 16193 16856 21070 24080 32386 33712 42140 64772 80965 84280 113351 129544 161930 168560 226702 259088 323860 453404 566755 647720 696299 793457 906808 1133510 1295440 1392598 1586914 1813616 2267020 2785196 3173828 3481495 3967285 4534040 4874093 5570392 6347656 6962990 7934570 9068080 9748186 11140784 12695312 13925980 15869140 19496372 24370465 27851960 31738280 34118651 38992744 48740930 55703920 63476560 68237302 77985488 97481860 136474604 170593255 194963720 272949208 341186510 389927440 545898416 682373020 1364746040 2729492080