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1290074040 = 23345398171
BaseRepresentation
bin100110011100100…
…1111011110111000
310022220111112220000
41030321033132320
510120224332130
6332002433000
743653306543
oct11471173670
93286445800
101290074040
116022387a2
12300062760
13177371028
14c349985a
15783ce260
hex4ce4f7b8

1290074040 has 80 divisors (see below), whose sum is σ = 4336093080. Its totient is φ = 344018880.

The previous prime is 1290074017. The next prime is 1290074057. The reversal of 1290074040 is 404700921.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1290073995 and 1290074013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 195846 + ... + 202325.

Almost surely, 21290074040 is an apocalyptic number.

1290074040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1290074040 is an abundant number, since it is smaller than the sum of its proper divisors (3046019040).

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

1290074040 is a wasteful number, since it uses less digits than its factorization.

1290074040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398194 (or 398181 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1290074040 is about 35917.6006993786. The cubic root of 1290074040 is about 1088.6080596692.

Adding to 1290074040 its reverse (404700921), we get a palindrome (1694774961).

The spelling of 1290074040 in words is "one billion, two hundred ninety million, seventy-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 398171 796342 1194513 1592684 1990855 2389026 3185368 3583539 3981710 4778052 5972565 7167078 7963420 9556104 10750617 11945130 14334156 15926840 17917695 21501234 23890260 28668312 32251851 35835390 43002468 47780520 53753085 64503702 71670780 86004936 107506170 129007404 143341560 161259255 215012340 258014808 322518510 430024680 645037020 1290074040