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1252076940 = 223552411069
BaseRepresentation
bin100101010100001…
…0010110110001100
310020021000002200000
41022220102312030
510031012430230
6324124204300
743012323042
oct11250226614
93207002600
101252076940
11592845a34
122ab399690
1316c52903a
14bc408392
1574dc5b60
hex4aa12d8c

1252076940 has 144 divisors (see below), whose sum is σ = 3958674720. Its totient is φ = 332190720.

The previous prime is 1252076927. The next prime is 1252076957. The reversal of 1252076940 is 496702521.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1252076895 and 1252076904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1170726 + ... + 1171794.

It is a vampire number, since it can be written as 1924265070 (with its own digits).

Almost surely, 21252076940 is an apocalyptic number.

1252076940 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 1252076940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1979337360).

1252076940 is an abundant number, since it is smaller than the sum of its proper divisors (2706597780).

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

1252076940 is a wasteful number, since it uses less digits than its factorization.

1252076940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1334 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 1252076940 is about 35384.6992356866. The cubic root of 1252076940 is about 1077.8136324283.

The spelling of 1252076940 in words is "one billion, two hundred fifty-two million, seventy-six thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 241 243 270 324 405 482 486 540 723 810 964 972 1069 1205 1215 1446 1620 2138 2169 2410 2430 2892 3207 3615 4276 4338 4820 4860 5345 6414 6507 7230 8676 9621 10690 10845 12828 13014 14460 16035 19242 19521 21380 21690 26028 28863 32070 32535 38484 39042 43380 48105 57726 58563 64140 65070 78084 86589 96210 97605 115452 117126 130140 144315 173178 192420 195210 234252 257629 259767 288630 292815 346356 390420 432945 515258 519534 577260 585630 772887 865890 1030516 1039068 1171260 1288145 1298835 1545774 1731780 2318661 2576290 2597670 3091548 3864435 4637322 5152580 5195340 6955983 7728870 9274644 11593305 13911966 15457740 20867949 23186610 27823932 34779915 41735898 46373220 62603847 69559830 83471796 104339745 125207694 139119660 208679490 250415388 313019235 417358980 626038470 1252076940