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2073763840 = 2135197257
BaseRepresentation
bin111101110011011…
…0010000000000000
312100112011010012011
41323212302000000
513221340420330
6541435542304
7102250462501
oct17346620000
95315133164
102073763840
11974649515
1249a5ba994
132708330c5
141595baba8
15c20d382a
hex7b9b2000

2073763840 has 112 divisors (see below), whose sum is σ = 5021455032. Its totient is φ = 822083584.

The previous prime is 2073763837. The next prime is 2073763957. The reversal of 2073763840 is 483673702.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2001309696 + 72454144 = 44736^2 + 8512^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2073763793 and 2073763802.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8068992 + ... + 8069248.

Almost surely, 22073763840 is an apocalyptic number.

2073763840 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 2073763840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2510727516).

2073763840 is an abundant number, since it is smaller than the sum of its proper divisors (2947691192).

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

2073763840 is an equidigital number, since it uses as much as digits as its factorization.

2073763840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 40.

The square root of 2073763840 is about 45538.5972555150. The cubic root of 2073763840 is about 1275.2238673931.

The spelling of 2073763840 in words is "two billion, seventy-three million, seven hundred sixty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 197 256 257 320 394 512 514 640 788 985 1024 1028 1280 1285 1576 1970 2048 2056 2560 2570 3152 3940 4096 4112 5120 5140 6304 7880 8192 8224 10240 10280 12608 15760 16448 20480 20560 25216 31520 32896 40960 41120 50432 50629 63040 65792 82240 100864 101258 126080 131584 164480 201728 202516 252160 253145 263168 328960 403456 405032 504320 506290 526336 657920 806912 810064 1008640 1012580 1052672 1315840 1613824 1620128 2017280 2025160 2105344 2631680 3240256 4034560 4050320 5263360 6480512 8069120 8100640 10526720 12961024 16201280 25922048 32402560 51844096 64805120 103688192 129610240 207376384 259220480 414752768 518440960 1036881920 2073763840