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2073512440 = 235177341771
BaseRepresentation
bin111101110010111…
…0100100111111000
312100111200100100001
41323211310213320
513221304344230
6541430322344
7102245364526
oct17345644770
95314610301
102073512440
1197449764a
1249a4b93b4
1327077584c
14159553316
15c20840ca
hex7b9749f8

2073512440 has 64 divisors (see below), whose sum is σ = 5007627360. Its totient is φ = 769904640.

The previous prime is 2073512437. The next prime is 2073512443. The reversal of 2073512440 is 442153702.

It is an interprime number because it is at equal distance from previous prime (2073512437) and next prime (2073512443).

It is a junction number, because it is equal to n+sod(n) for n = 2073512399 and 2073512408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2073512443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28755 + ... + 70525.

Almost surely, 22073512440 is an apocalyptic number.

2073512440 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 2073512440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2503813680).

2073512440 is an abundant number, since it is smaller than the sum of its proper divisors (2934114920).

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

2073512440 is a wasteful number, since it uses less digits than its factorization.

2073512440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41872 (or 41868 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The square root of 2073512440 is about 45535.8368760255. The cubic root of 2073512440 is about 1275.1723340041.

The spelling of 2073512440 in words is "two billion, seventy-three million, five hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 73 85 136 146 170 292 340 365 584 680 730 1241 1460 2482 2920 4964 6205 9928 12410 24820 41771 49640 83542 167084 208855 334168 417710 710107 835420 1420214 1670840 2840428 3049283 3550535 5680856 6098566 7101070 12197132 14202140 15246415 24394264 28404280 30492830 51837811 60985660 103675622 121971320 207351244 259189055 414702488 518378110 1036756220 2073512440