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1076082140 = 225722347741
BaseRepresentation
bin100000000100011…
…1011010111011100
32202222211122012002
41000020323113130
54200434112030
6254440101432
735444355500
oct10010732734
92688748162
101076082140
11502469491
12260464878
13141c281c3
14a2cb4300
156470e245
hex4023b5dc

1076082140 has 72 divisors (see below), whose sum is σ = 2743064352. Its totient is φ = 352894080.

The previous prime is 1076082131. The next prime is 1076082169. The reversal of 1076082140 is 412806701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1331 + ... + 46410.

It is an arithmetic number, because the mean of its divisors is an integer number (38098116).

Almost surely, 21076082140 is an apocalyptic number.

1076082140 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 1076082140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371532176).

1076082140 is an abundant number, since it is smaller than the sum of its proper divisors (1666982212).

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

1076082140 is a wasteful number, since it uses less digits than its factorization.

1076082140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47787 (or 47778 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 1076082140 is about 32803.6909508671. The cubic root of 1076082140 is about 1024.7434265603.

Adding to 1076082140 its reverse (412806701), we get a palindrome (1488888841).

The spelling of 1076082140 in words is "one billion, seventy-six million, eighty-two thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 49 70 92 98 115 140 161 196 230 245 322 460 490 644 805 980 1127 1610 2254 3220 4508 5635 11270 22540 47741 95482 190964 238705 334187 477410 668374 954820 1098043 1336748 1670935 2196086 2339309 3341870 4392172 4678618 5490215 6683740 7686301 9357236 10980430 11696545 15372602 21960860 23393090 30745204 38431505 46786180 53804107 76863010 107608214 153726020 215216428 269020535 538041070 1076082140