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1076871840 = 253511203953
BaseRepresentation
bin100000000101111…
…1100001010100000
32210001022202110020
41000023330022200
54201134344330
6254505033440
735454155022
oct10013741240
92701282406
101076871840
11502958830
12260785880
13142143795
14a303c012
1564818210
hex402fc2a0

1076871840 has 96 divisors (see below), whose sum is σ = 3700541376. Its totient is φ = 261058560.

The previous prime is 1076871827. The next prime is 1076871853. The reversal of 1076871840 is 481786701.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1076871827) and next prime (1076871853).

It is a tau number, because it is divible by the number of its divisors (96).

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 junction number, because it is equal to n+sod(n) for n = 1076871792 and 1076871801.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 96697 + ... + 107256.

It is an arithmetic number, because the mean of its divisors is an integer number (38547306).

Almost surely, 21076871840 is an apocalyptic number.

1076871840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1076871840 is an abundant number, since it is smaller than the sum of its proper divisors (2623669536).

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

1076871840 is a wasteful number, since it uses less digits than its factorization.

1076871840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203982 (or 203974 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 42.

The square root of 1076871840 is about 32815.7254986081. The cubic root of 1076871840 is about 1024.9940400209.

The spelling of 1076871840 in words is "one billion, seventy-six million, eight hundred seventy-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 203953 407906 611859 815812 1019765 1223718 1631624 2039530 2243483 2447436 3059295 3263248 4079060 4486966 4894872 6118590 6526496 6730449 8158120 8973932 9789744 11217415 12237180 13460898 16316240 17947864 19579488 22434830 24474360 26921796 32632480 33652245 35895728 44869660 48948720 53843592 67304490 71791456 89739320 97897440 107687184 134608980 179478640 215374368 269217960 358957280 538435920 1076871840