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11870320 = 2457114147
BaseRepresentation
bin101101010010…
…000001110000
3211100002000111
4231102001300
511014322240
61102231104
7202616230
oct55220160
924302014
1011870320
116778390
123b85494
1325c7c77
14180dcc0
1510971ea
hexb52070

11870320 has 160 divisors (see below), whose sum is σ = 35997696. Its totient is φ = 3532800.

The previous prime is 11870317. The next prime is 11870329. The reversal of 11870320 is 2307811.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 11870291 and 11870300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11870329) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 252537 + ... + 252583.

Almost surely, 211870320 is an apocalyptic number.

11870320 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 11870320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17998848).

11870320 is an abundant number, since it is smaller than the sum of its proper divisors (24127376).

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

11870320 is a wasteful number, since it uses less digits than its factorization.

11870320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 11870320 is about 3445.3330753354. Note that the first 3 decimals coincide. The cubic root of 11870320 is about 228.1151567655.

The spelling of 11870320 in words is "eleven million, eight hundred seventy thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 41 44 47 55 56 70 77 80 82 88 94 110 112 140 154 164 176 188 205 220 235 280 287 308 328 329 376 385 410 440 451 470 517 560 574 616 656 658 752 770 820 880 902 940 1034 1148 1232 1316 1435 1540 1640 1645 1804 1880 1927 2068 2255 2296 2585 2632 2870 3080 3157 3280 3290 3608 3619 3760 3854 4136 4510 4592 5170 5264 5740 6160 6314 6580 7216 7238 7708 8272 9020 9635 10340 11480 12628 13160 13489 14476 15416 15785 18040 18095 19270 20680 21197 22960 25256 26320 26978 28952 30832 31570 36080 36190 38540 41360 42394 50512 53956 57904 63140 67445 72380 77080 84788 105985 107912 126280 134890 144760 148379 154160 169576 211970 215824 252560 269780 289520 296758 339152 423940 539560 593516 741895 847880 1079120 1187032 1483790 1695760 2374064 2967580 5935160 11870320