Search a number
-
+
1070160 = 24357313
BaseRepresentation
bin100000101010001010000
32000100222120
410011101100
5233221120
634534240
712045000
oct4052120
92010876
101070160
11671033
12437380
132b6140
141dc000
15162140
hex105450

1070160 has 160 divisors (see below), whose sum is σ = 4166400. Its totient is φ = 225792.

The previous prime is 1070149. The next prime is 1070171. The reversal of 1070160 is 610701.

Added to its reverse (610701) it gives a triangular number (1680861 = T1833).

It is an interprime number because it is at equal distance from previous prime (1070149) and next prime (1070171).

It is a super-2 number, since 2×10701602 = 2290484851200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82314 + ... + 82326.

It is an arithmetic number, because the mean of its divisors is an integer number (26040).

21070160 is an apocalyptic number.

1070160 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 1070160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2083200).

1070160 is an abundant number, since it is smaller than the sum of its proper divisors (3096240).

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

1070160 is a wasteful number, since it uses less digits than its factorization.

1070160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 1070160 is about 1034.4853793070. The cubic root of 1070160 is about 102.2860100369.

Adding to 1070160 its reverse (610701), we get a palindrome (1680861).

The spelling of 1070160 in words is "one million, seventy thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 35 39 40 42 48 49 52 56 60 65 70 78 80 84 91 98 104 105 112 120 130 140 147 156 168 182 195 196 208 210 240 245 260 273 280 294 312 336 343 364 390 392 420 455 490 520 546 560 588 624 637 686 728 735 780 784 840 910 980 1029 1040 1092 1176 1274 1365 1372 1456 1470 1560 1680 1715 1820 1911 1960 2058 2184 2352 2548 2730 2744 2940 3120 3185 3430 3640 3822 3920 4116 4368 4459 5096 5145 5460 5488 5880 6370 6860 7280 7644 8232 8918 9555 10192 10290 10920 11760 12740 13377 13720 15288 16464 17836 19110 20580 21840 22295 25480 26754 27440 30576 35672 38220 41160 44590 50960 53508 66885 71344 76440 82320 89180 107016 133770 152880 178360 214032 267540 356720 535080 1070160