Search a number
-
+
1345960 = 2357111923
BaseRepresentation
bin101001000100110101000
32112101022101
411020212220
5321032320
644503144
714304040
oct5104650
92471271
101345960
1183a270
1254aab4
13381835
14270720
151b8c0a
hex1489a8

1345960 has 128 divisors (see below), whose sum is σ = 4147200. Its totient is φ = 380160.

The previous prime is 1345957. The next prime is 1345973. The reversal of 1345960 is 695431.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a d-powerful number, because it can be written as 1 + 312 + 42 + 55 + 96 + 67 + 0 .

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, 58509 + ... + 58531.

It is an arithmetic number, because the mean of its divisors is an integer number (32400).

21345960 is an apocalyptic number.

1345960 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 1345960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2073600).

1345960 is an abundant number, since it is smaller than the sum of its proper divisors (2801240).

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

1345960 is a wasteful number, since it uses less digits than its factorization.

1345960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 1345960 is about 1160.1551620365. The cubic root of 1345960 is about 110.4105867464.

The spelling of 1345960 in words is "one million, three hundred forty-five thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 19 20 22 23 28 35 38 40 44 46 55 56 70 76 77 88 92 95 110 115 133 140 152 154 161 184 190 209 220 230 253 266 280 308 322 380 385 418 437 440 460 506 532 616 644 665 760 770 805 836 874 920 1012 1045 1064 1265 1288 1330 1463 1540 1610 1672 1748 1771 2024 2090 2185 2530 2660 2926 3059 3080 3220 3496 3542 4180 4370 4807 5060 5320 5852 6118 6440 7084 7315 8360 8740 8855 9614 10120 11704 12236 14168 14630 15295 17480 17710 19228 24035 24472 29260 30590 33649 35420 38456 48070 58520 61180 67298 70840 96140 122360 134596 168245 192280 269192 336490 672980 1345960