Search a number
-
+
2056513120 = 255173732027
BaseRepresentation
bin111101010010011…
…1110011001100000
312022022200200122121
41322210332121200
513202431404440
6540022114024
7101651034034
oct17244763140
95268620577
102056513120
11965936822
1249487b914
1326a0a318c
141571aa1c4
15c082734a
hex7a93e660

2056513120 has 96 divisors (see below), whose sum is σ = 5160643488. Its totient is φ = 771760128.

The previous prime is 2056513093. The next prime is 2056513177. The reversal of 2056513120 is 213156502.

It is a congruent number.

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, 1013547 + ... + 1015573.

It is an arithmetic number, because the mean of its divisors is an integer number (53756703).

Almost surely, 22056513120 is an apocalyptic number.

2056513120 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 2056513120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2580321744).

2056513120 is an abundant number, since it is smaller than the sum of its proper divisors (3104130368).

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

2056513120 is a wasteful number, since it uses less digits than its factorization.

2056513120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2432 (or 2424 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 2056513120 is about 45348.7940302716. The cubic root of 2056513120 is about 1271.6780100833.

Adding to 2056513120 its reverse (213156502), we get a palindrome (2269669622).

The spelling of 2056513120 in words is "two billion, fifty-six million, five hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 373 544 680 746 1360 1492 1865 2027 2720 2984 3730 4054 5968 6341 7460 8108 10135 11936 12682 14920 16216 20270 25364 29840 31705 32432 34459 40540 50728 59680 63410 64864 68918 81080 101456 126820 137836 162160 172295 202912 253640 275672 324320 344590 507280 551344 689180 756071 1014560 1102688 1378360 1512142 2756720 3024284 3780355 5513440 6048568 7560710 12097136 12853207 15121420 24194272 25706414 30242840 51412828 60485680 64266035 102825656 120971360 128532070 205651312 257064140 411302624 514128280 1028256560 2056513120