Search a number
-
+
1086860544 = 28371118379
BaseRepresentation
bin100000011001000…
…0010110100000000
32210202010020101020
41000302002310000
54211214014134
6255503105440
735635106430
oct10062026400
92722106336
101086860544
11508560460
12263ba2280
13144230163
14a44bc2c0
156563cb49
hex40c82d00

1086860544 has 144 divisors (see below), whose sum is σ = 3606597120. Its totient is φ = 282286080.

The previous prime is 1086860531. The next prime is 1086860557. The reversal of 1086860544 is 4450686801.

It is an interprime number because it is at equal distance from previous prime (1086860531) and next prime (1086860557).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1086860496 and 1086860505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49947 + ... + 68325.

Almost surely, 21086860544 is an apocalyptic number.

1086860544 is a gapful number since it is divisible by the number (14) 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 1086860544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1803298560).

1086860544 is an abundant number, since it is smaller than the sum of its proper divisors (2519736576).

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

1086860544 is a wasteful number, since it uses less digits than its factorization.

1086860544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18416 (or 18402 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 42.

The square root of 1086860544 is about 32967.5680631738. The cubic root of 1086860544 is about 1028.1534591014.

The spelling of 1086860544 in words is "one billion, eighty-six million, eight hundred sixty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 256 264 308 336 352 384 448 462 528 616 672 704 768 896 924 1056 1232 1344 1408 1792 1848 2112 2464 2688 2816 3696 4224 4928 5376 7392 8448 9856 14784 18379 19712 29568 36758 55137 59136 73516 110274 128653 147032 202169 220548 257306 294064 385959 404338 441096 514612 588128 606507 771918 808676 882192 1029224 1176256 1213014 1415183 1543836 1617352 1764384 2058448 2352512 2426028 2830366 3087672 3234704 3528768 4116896 4245549 4705024 4852056 5660732 6175344 6469408 7057536 8233792 8491098 9704112 11321464 12350688 12938816 14115072 16467584 16982196 19408224 22642928 24701376 25877632 32935168 33964392 38816448 45285856 49402752 51755264 67928784 77632896 90571712 98805504 135857568 155265792 181143424 271715136 362286848 543430272 1086860544