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1213763040 = 253257120413
BaseRepresentation
bin100100001011000…
…1000110111100000
310010120220112212200
41020112020313200
54441210404130
6320235053200
742035546520
oct11026106740
93116815780
101213763040
11573157156
1229a5a1200
13164602aa9
14b72b3680
1571858760
hex48588de0

1213763040 has 144 divisors (see below), whose sum is σ = 4733715168. Its totient is φ = 277429248.

The previous prime is 1213763009. The next prime is 1213763041. The reversal of 1213763040 is 403673121.

1213763040 is a `hidden beast` number, since 1 + 21 + 3 + 7 + 630 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 1213762995 and 1213763013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1213763041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50127 + ... + 70286.

It is an arithmetic number, because the mean of its divisors is an integer number (32873022).

Almost surely, 21213763040 is an apocalyptic number.

1213763040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1213763040 is an abundant number, since it is smaller than the sum of its proper divisors (3519952128).

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

1213763040 is a wasteful number, since it uses less digits than its factorization.

1213763040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120441 (or 120430 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 1213763040 is about 34839.1021698321. The cubic root of 1213763040 is about 1066.7057503040.

The spelling of 1213763040 in words is "one billion, two hundred thirteen million, seven hundred sixty-three thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 120413 240826 361239 481652 602065 722478 842891 963304 1083717 1204130 1444956 1685782 1806195 1926608 2167434 2408260 2528673 2889912 3371564 3612390 3853216 4214455 4334868 4816520 5057346 5418585 5779824 6743128 7224780 7586019 8428910 8669736 9633040 10114692 10837170 11559648 12643365 13486256 14449560 15172038 16857820 17339472 19266080 20229384 21674340 25286730 26972512 28899120 30344076 33715640 34678944 37930095 40458768 43348680 50573460 57798240 60688152 67431280 75860190 80917536 86697360 101146920 121376304 134862560 151720380 173394720 202293840 242752608 303440760 404587680 606881520 1213763040