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2029093020 = 2232561283653
BaseRepresentation
bin111100011110001…
…1000000010011100
312020102002121100100
41320330120002130
513123421434040
6533202301100
7101166002043
oct17074300234
95212077310
102029093020
11951408689
12487657790
132644c2576
141536ad55a
15bd20cb30
hex78f1809c

2029093020 has 144 divisors (see below), whose sum is σ = 6287535072. Its totient is φ = 529528320.

The previous prime is 2029093009. The next prime is 2029093039. The reversal of 2029093020 is 203909202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3107014 + ... + 3107666.

It is an arithmetic number, because the mean of its divisors is an integer number (43663438).

Almost surely, 22029093020 is an apocalyptic number.

2029093020 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 2029093020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3143767536).

2029093020 is an abundant number, since it is smaller than the sum of its proper divisors (4258442052).

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

2029093020 is a wasteful number, since it uses less digits than its factorization.

2029093020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 2029093020 is about 45045.4550426566. The cubic root of 2029093020 is about 1266.0008160938. Note that the first 3 decimals are identical.

The spelling of 2029093020 in words is "two billion, twenty-nine million, ninety-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 283 305 366 549 566 610 653 732 849 915 1098 1132 1220 1306 1415 1698 1830 1959 2196 2547 2612 2745 2830 3265 3396 3660 3918 4245 5094 5490 5660 5877 6530 7836 8490 9795 10188 10980 11754 12735 13060 16980 17263 19590 23508 25470 29385 34526 39180 39833 50940 51789 58770 69052 79666 86315 103578 117540 119499 155367 159332 172630 184799 199165 207156 238998 258945 310734 345260 358497 369598 398330 477996 517890 554397 597495 621468 716994 739196 776835 796660 923995 1035780 1108794 1194990 1433988 1553670 1663191 1792485 1847990 2217588 2389980 2771985 3107340 3326382 3584970 3695980 5543970 6652764 7169940 8315955 11087940 11272739 16631910 22545478 33263820 33818217 45090956 56363695 67636434 101454651 112727390 135272868 169091085 202909302 225454780 338182170 405818604 507273255 676364340 1014546510 2029093020