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1076806248 = 2337171013733
BaseRepresentation
bin100000000101110…
…1100001001101000
32210001012102110220
41000023230021220
54201130244443
6254503410040
735453462550
oct10013541150
92701172426
101076806248
11502913521
12260753920
1314211c97b
14a3022160
1564803a83
hex402ec268

1076806248 has 128 divisors (see below), whose sum is σ = 3290699520. Its totient is φ = 286617600.

The previous prime is 1076806243. The next prime is 1076806253. The reversal of 1076806248 is 8426086701.

It is an interprime number because it is at equal distance from previous prime (1076806243) and next prime (1076806253).

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

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

It is not an unprimeable number, because it can be changed into a prime (1076806243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 286590 + ... + 290322.

It is an arithmetic number, because the mean of its divisors is an integer number (25708590).

Almost surely, 21076806248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1076806248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1645349760).

1076806248 is an abundant number, since it is smaller than the sum of its proper divisors (2213893272).

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

1076806248 is a wasteful number, since it uses less digits than its factorization.

1076806248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3867 (or 3863 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 1076806248 is about 32814.7260844883. The cubic root of 1076806248 is about 1024.9732288864.

The spelling of 1076806248 in words is "one billion, seventy-six million, eight hundred six thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 101 102 119 136 168 202 204 238 303 357 404 408 476 606 707 714 808 952 1212 1414 1428 1717 2121 2424 2828 2856 3434 3733 4242 5151 5656 6868 7466 8484 10302 11199 12019 13736 14932 16968 20604 22398 24038 26131 29864 36057 41208 44796 48076 52262 63461 72114 78393 89592 96152 104524 126922 144228 156786 190383 209048 253844 288456 313572 377033 380766 444227 507688 627144 754066 761532 888454 1131099 1332681 1508132 1523064 1776908 2262198 2639231 2665362 3016264 3553816 4524396 5278462 5330724 6409561 7917693 9048792 10556924 10661448 12819122 15835386 19228683 21113848 25638244 31670772 38457366 44866927 51276488 63341544 76914732 89733854 134600781 153829464 179467708 269201562 358935416 538403124 1076806248