Search a number
-
+
1146755740 = 2251317401647
BaseRepresentation
bin100010001011010…
…0001101010011100
32221220211020010211
41010112201222130
54322032140430
6305442542204
740263156124
oct10426415234
92856736124
101146755740
1153934a619
12280067964
131537714c0
14ac42dc84
156aa1e72a
hex445a1a9c

1146755740 has 96 divisors (see below), whose sum is σ = 2757089664. Its totient is φ = 396902400.

The previous prime is 1146755737. The next prime is 1146755749. The reversal of 1146755740 is 475576411.

It is a junction number, because it is equal to n+sod(n) for n = 1146755693 and 1146755702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1146755749) by changing a digit.

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, 1772097 + ... + 1772743.

It is an arithmetic number, because the mean of its divisors is an integer number (28719684).

Almost surely, 21146755740 is an apocalyptic number.

1146755740 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 1146755740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1378544832).

1146755740 is an abundant number, since it is smaller than the sum of its proper divisors (1610333924).

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

1146755740 is a wasteful number, since it uses less digits than its factorization.

1146755740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1085 counting only the distinct ones).

The product of its (nonzero) digits is 117600, while the sum is 40.

The square root of 1146755740 is about 33863.7821278132. The cubic root of 1146755740 is about 1046.7034144445.

The spelling of 1146755740 in words is "one billion, one hundred forty-six million, seven hundred fifty-five thousand, seven hundred forty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 401 442 647 802 884 1105 1294 1604 2005 2210 2588 3235 4010 4420 5213 6470 6817 8020 8411 10426 10999 12940 13634 16822 20852 21998 26065 27268 33644 34085 42055 43996 52130 54995 68170 84110 88621 104260 109990 136340 142987 168220 177242 219980 259447 285974 354484 443105 518894 571948 714935 886210 1037788 1297235 1429870 1772420 2594470 2859740 3372811 4410599 5188940 6745622 8821198 13491244 16864055 17642396 22052995 33728110 44105990 57337787 67456220 88211980 114675574 229351148 286688935 573377870 1146755740