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2113001440 = 255119712377
BaseRepresentation
bin111110111110001…
…1101011111100000
312110020222121001121
41331330131133200
513311412021230
6545400542024
7103235134024
oct17574353740
95406877047
102113001440
11994809290
124ab781914
132789c0914
141608b2384
15c578477a
hex7df1d7e0

2113001440 has 96 divisors (see below), whose sum is σ = 5502367584. Its totient is φ = 760381440.

The previous prime is 2113001389. The next prime is 2113001453. The reversal of 2113001440 is 441003112.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 164532 + ... + 176908.

It is an arithmetic number, because the mean of its divisors is an integer number (57316329).

Almost surely, 22113001440 is an apocalyptic number.

2113001440 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 2113001440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2751183792).

2113001440 is an abundant number, since it is smaller than the sum of its proper divisors (3389366144).

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

2113001440 is a wasteful number, since it uses less digits than its factorization.

2113001440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12500 (or 12492 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 2113001440 is about 45967.3954015235. The cubic root of 2113001440 is about 1283.2164874033.

Adding to 2113001440 its reverse (441003112), we get a palindrome (2554004552).

The spelling of 2113001440 in words is "two billion, one hundred thirteen million, one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 97 110 160 176 194 220 352 388 440 485 776 880 970 1067 1552 1760 1940 2134 3104 3880 4268 5335 7760 8536 10670 12377 15520 17072 21340 24754 34144 42680 49508 61885 85360 99016 123770 136147 170720 198032 247540 272294 396064 495080 544588 680735 990160 1089176 1200569 1361470 1980320 2178352 2401138 2722940 4356704 4802276 5445880 6002845 9604552 10891760 12005690 13206259 19209104 21783520 24011380 26412518 38418208 48022760 52825036 66031295 96045520 105650072 132062590 192091040 211300144 264125180 422600288 528250360 1056500720 2113001440