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11870040 = 23357131087
BaseRepresentation
bin101101010001…
…111101011000
3211100001122010
4231101331120
511014320130
61102225520
7202615350
oct55217530
924301563
1011870040
116778156
123b852a0
1325c7ac0
14180db60
1510970b0
hexb51f58

11870040 has 128 divisors (see below), whose sum is σ = 43868160. Its totient is φ = 2502144.

The previous prime is 11870017. The next prime is 11870069. The reversal of 11870040 is 4007811.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 11869989 and 11870016.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 10377 + ... + 11463.

It is an arithmetic number, because the mean of its divisors is an integer number (342720).

Almost surely, 211870040 is an apocalyptic number.

11870040 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 11870040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21934080).

11870040 is an abundant number, since it is smaller than the sum of its proper divisors (31998120).

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

11870040 is a wasteful number, since it uses less digits than its factorization.

11870040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121 (or 1117 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

The square root of 11870040 is about 3445.2924404178. The cubic root of 11870040 is about 228.1133631394.

Adding to 11870040 its reverse (4007811), we get a palindrome (15877851).

The spelling of 11870040 in words is "eleven million, eight hundred seventy thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 840 910 1087 1092 1365 1560 1820 2174 2184 2730 3261 3640 4348 5435 5460 6522 7609 8696 10870 10920 13044 14131 15218 16305 21740 22827 26088 28262 30436 32610 38045 42393 43480 45654 56524 60872 65220 70655 76090 84786 91308 98917 113048 114135 130440 141310 152180 169572 182616 197834 211965 228270 282620 296751 304360 339144 395668 423930 456540 494585 565240 593502 791336 847860 913080 989170 1187004 1483755 1695720 1978340 2374008 2967510 3956680 5935020 11870040