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1076117140 = 225743178757
BaseRepresentation
bin100000000100100…
…0011111010010100
32202222220102012101
41000021003322110
54200441222030
6254440531444
735444562520
oct10011037224
92688812171
101076117140
1150249280a
12260480b84
13141c3b107
14a2cc2d80
15647197ca
hex40243e94

1076117140 has 48 divisors (see below), whose sum is σ = 2642758272. Its totient is φ = 360372096.

The previous prime is 1076117137. The next prime is 1076117149. The reversal of 1076117140 is 417116701.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 1076117099 and 1076117108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1076117149) 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 15 ways as a sum of consecutive naturals, for example, 83359 + ... + 95398.

It is an arithmetic number, because the mean of its divisors is an integer number (55057464).

Almost surely, 21076117140 is an apocalyptic number.

1076117140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1076117140 is an abundant number, since it is smaller than the sum of its proper divisors (1566641132).

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

1076117140 is a wasteful number, since it uses less digits than its factorization.

1076117140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178816 (or 178814 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 28.

The square root of 1076117140 is about 32804.2244230831. The cubic root of 1076117140 is about 1024.7545365025.

The spelling of 1076117140 in words is "one billion, seventy-six million, one hundred seventeen thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 140 172 215 301 430 602 860 1204 1505 3010 6020 178757 357514 715028 893785 1251299 1787570 2502598 3575140 5005196 6256495 7686551 12512990 15373102 25025980 30746204 38432755 53805857 76865510 107611714 153731020 215223428 269029285 538058570 1076117140