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2065236640 = 255711371327
BaseRepresentation
bin111101100011001…
…0000001010100000
312022221002220001221
41323012100022200
513212200033030
6540533104424
7102115136035
oct17306201240
95287086057
102065236640
1196a854945
12497788114
1326bb38a1c
141583db38c
15c149be7a
hex7b1902a0

2065236640 has 96 divisors (see below), whose sum is σ = 4987713024. Its totient is φ = 807905280.

The previous prime is 2065236629. The next prime is 2065236643. The reversal of 2065236640 is 466325602.

It is a junction number, because it is equal to n+sod(n) for n = 2065236596 and 2065236605.

It is not an unprimeable number, because it can be changed into a prime (2065236643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1555657 + ... + 1556983.

It is an arithmetic number, because the mean of its divisors is an integer number (51955344).

Almost surely, 22065236640 is an apocalyptic number.

2065236640 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 2065236640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2493856512).

2065236640 is an abundant number, since it is smaller than the sum of its proper divisors (2922476384).

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

2065236640 is a wasteful number, since it uses less digits than its factorization.

2065236640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1550 (or 1542 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The square root of 2065236640 is about 45444.8747385225. The cubic root of 2065236640 is about 1273.4735832896.

The spelling of 2065236640 in words is "two billion, sixty-five million, two hundred thirty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 71 80 137 142 160 274 284 355 548 568 685 710 1096 1136 1327 1370 1420 2192 2272 2654 2740 2840 4384 5308 5480 5680 6635 9727 10616 10960 11360 13270 19454 21232 21920 26540 38908 42464 48635 53080 77816 94217 97270 106160 155632 181799 188434 194540 212320 311264 363598 376868 389080 471085 727196 753736 778160 908995 942170 1454392 1507472 1556320 1817990 1884340 2908784 3014944 3635980 3768680 5817568 7271960 7537360 12907729 14543920 15074720 25815458 29087840 51630916 64538645 103261832 129077290 206523664 258154580 413047328 516309160 1032618320 2065236640