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1381935240 = 233257278341
BaseRepresentation
bin101001001011110…
…1010100010001000
310120022100120202200
41102113222202020
510312233411430
6345043400200
746150153500
oct12227524210
93508316680
101381935240
1164a080444
12326983060
131903c517a
14d176ca00
15814c7460
hex525ea888

1381935240 has 144 divisors (see below), whose sum is σ = 5224627980. Its totient is φ = 315866880.

The previous prime is 1381935209. The next prime is 1381935257. The reversal of 1381935240 is 425391831.

1381935240 is a `hidden beast` number, since 1 + 381 + 9 + 35 + 240 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1375371396 + 6563844 = 37086^2 + 2562^2 .

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 = 1381935195 and 1381935204.

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 35 ways as a sum of consecutive naturals, for example, 21531 + ... + 56810.

Almost surely, 21381935240 is an apocalyptic number.

1381935240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1381935240 is an abundant number, since it is smaller than the sum of its proper divisors (3842692740).

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

1381935240 is a wasteful number, since it uses less digits than its factorization.

1381935240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78372 (or 78358 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1381935240 is about 37174.3895713164. The cubic root of 1381935240 is about 1113.8564666745.

The spelling of 1381935240 in words is "one billion, three hundred eighty-one million, nine hundred thirty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 49 56 60 63 70 72 84 90 98 105 120 126 140 147 168 180 196 210 245 252 280 294 315 360 392 420 441 490 504 588 630 735 840 882 980 1176 1260 1470 1764 1960 2205 2520 2940 3528 4410 5880 8820 17640 78341 156682 235023 313364 391705 470046 548387 626728 705069 783410 940092 1096774 1175115 1410138 1566820 1645161 1880184 2193548 2350230 2741935 2820276 3133640 3290322 3525345 3838709 4387096 4700460 4935483 5483870 5640552 6580644 7050690 7677418 8225805 9400920 9870966 10967740 11516127 13161288 14101380 15354836 16451610 19193545 19741932 21935480 23032254 24677415 28202760 30709672 32903220 34548381 38387090 39483864 46064508 49354830 57580635 65806440 69096762 76774180 92129016 98709660 115161270 138193524 153548360 172741905 197419320 230322540 276387048 345483810 460645080 690967620 1381935240