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2053209760 = 25572379691
BaseRepresentation
bin111101001100001…
…0111111010100000
312022002110212021221
41322120113322200
513201110203020
6535423224424
7101610665200
oct17230277240
95262425257
102053209760
11963a8a978
12493748114
132694b7724
1415698a400
15c03c36aa
hex7a617ea0

2053209760 has 144 divisors (see below), whose sum is σ = 5665736160. Its totient is φ = 701084160.

The previous prime is 2053209713. The next prime is 2053209803. The reversal of 2053209760 is 679023502.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2971015 + ... + 2971705.

It is an arithmetic number, because the mean of its divisors is an integer number (39345390).

Almost surely, 22053209760 is an apocalyptic number.

2053209760 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 2053209760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2832868080).

2053209760 is an abundant number, since it is smaller than the sum of its proper divisors (3612526400).

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

2053209760 is a wasteful number, since it uses less digits than its factorization.

2053209760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1084 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 34.

The square root of 2053209760 is about 45312.3576963283. The cubic root of 2053209760 is about 1270.9967498988.

The spelling of 2053209760 in words is "two billion, fifty-three million, two hundred nine thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 379 392 490 560 691 758 784 980 1120 1382 1516 1568 1895 1960 2653 2764 3032 3455 3790 3920 4837 5306 5528 6064 6910 7580 7840 9674 10612 11056 12128 13265 13820 15160 18571 19348 21224 22112 24185 26530 27640 30320 33859 37142 38696 42448 48370 53060 55280 60640 67718 74284 77392 84896 92855 96740 106120 110560 135436 148568 154784 169295 185710 193480 212240 261889 270872 297136 338590 371420 386960 424480 523778 541744 594272 677180 742840 773920 1047556 1083488 1309445 1354360 1485680 1833223 2095112 2618890 2708720 2971360 3666446 4190224 5237780 5417440 7332892 8380448 9166115 10475560 12832561 14665784 18332230 20951120 25665122 29331568 36664460 41902240 51330244 58663136 64162805 73328920 102660488 128325610 146657840 205320976 256651220 293315680 410641952 513302440 1026604880 2053209760