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1243193040 = 243256725771
BaseRepresentation
bin100101000011001…
…1001111011010000
310012122021202020200
41022012121323100
510021224134130
6323205535200
742543652335
oct11206317320
93178252220
101243193040
11588828371
122a8414500
1316a7384ab
14bb17498c
157421d760
hex4a199ed0

1243193040 has 120 divisors (see below), whose sum is σ = 4237535328. Its totient is φ = 326557440.

The previous prime is 1243193023. The next prime is 1243193057. The reversal of 1243193040 is 403913421.

It is an interprime number because it is at equal distance from previous prime (1243193023) and next prime (1243193057).

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 1243192995 and 1243193013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35355 + ... + 61125.

Almost surely, 21243193040 is an apocalyptic number.

1243193040 is a gapful number since it is divisible by the number (10) 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 1243193040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2118767664).

1243193040 is an abundant number, since it is smaller than the sum of its proper divisors (2994342288).

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

1243193040 is a wasteful number, since it uses less digits than its factorization.

1243193040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25857 (or 25848 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1243193040 is about 35258.9426954354. The cubic root of 1243193040 is about 1075.2584314679.

The spelling of 1243193040 in words is "one billion, two hundred forty-three million, one hundred ninety-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 67 72 80 90 120 134 144 180 201 240 268 335 360 402 536 603 670 720 804 1005 1072 1206 1340 1608 2010 2412 2680 3015 3216 4020 4824 5360 6030 8040 9648 12060 16080 24120 25771 48240 51542 77313 103084 128855 154626 206168 231939 257710 309252 386565 412336 463878 515420 618504 773130 927756 1030840 1159695 1237008 1546260 1726657 1855512 2061680 2319390 3092520 3453314 3711024 4638780 5179971 6185040 6906628 8633285 9277560 10359942 13813256 15539913 17266570 18555120 20719884 25899855 27626512 31079826 34533140 41439768 51799710 62159652 69066280 77699565 82879536 103599420 124319304 138132560 155399130 207198840 248638608 310798260 414397680 621596520 1243193040