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2029272720 = 243514956747
BaseRepresentation
bin111100011110100…
…0011111010010000
312020102102201211220
41320331003322100
513123443211340
6533210205040
7101200350666
oct17075037220
95212381756
102029272720
119515206a2
12487723780
132645562b7
14153718c36
15bd245ed0
hex78f43e90

2029272720 has 80 divisors (see below), whose sum is σ = 6333076800. Its totient is φ = 537498112.

The previous prime is 2029272697. The next prime is 2029272743. The reversal of 2029272720 is 272729202.

It is an interprime number because it is at equal distance from previous prime (2029272697) and next prime (2029272743).

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7387 + ... + 64133.

It is an arithmetic number, because the mean of its divisors is an integer number (79163460).

Almost surely, 22029272720 is an apocalyptic number.

2029272720 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 2029272720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3166538400).

2029272720 is an abundant number, since it is smaller than the sum of its proper divisors (4303804080).

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

2029272720 is a wasteful number, since it uses less digits than its factorization.

2029272720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56912 (or 56906 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 2029272720 is about 45047.4496503409. The cubic root of 2029272720 is about 1266.0381880671.

The spelling of 2029272720 in words is "two billion, twenty-nine million, two hundred seventy-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 149 240 298 447 596 745 894 1192 1490 1788 2235 2384 2980 3576 4470 5960 7152 8940 11920 17880 35760 56747 113494 170241 226988 283735 340482 453976 567470 680964 851205 907952 1134940 1361928 1702410 2269880 2723856 3404820 4539760 6809640 8455303 13619280 16910606 25365909 33821212 42276515 50731818 67642424 84553030 101463636 126829545 135284848 169106060 202927272 253659090 338212120 405854544 507318180 676424240 1014636360 2029272720