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1076247144 = 233272135411
BaseRepresentation
bin100000000100110…
…0011101001101000
32210000011000112100
41000021203221220
54201004402034
6254443413400
735445643530
oct10011435150
92700130470
101076247144
11502571455
12260524260
13141c8533b
14a2d184c0
1564743099
hex40263a68

1076247144 has 48 divisors (see below), whose sum is σ = 3331242720. Its totient is φ = 307499040.

The previous prime is 1076247131. The next prime is 1076247187. The reversal of 1076247144 is 4417426701.

It is a happy number.

1076247144 is a `hidden beast` number, since 10 + 7 + 624 + 7 + 14 + 4 = 666.

It is a Smith number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 1076247099 and 1076247108.

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 11 ways as a sum of consecutive naturals, for example, 1067202 + ... + 1068209.

It is an arithmetic number, because the mean of its divisors is an integer number (69400890).

Almost surely, 21076247144 is an apocalyptic number.

1076247144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

1076247144 is an abundant number, since it is smaller than the sum of its proper divisors (2254995576).

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

1076247144 is a wasteful number, since it uses less digits than its factorization.

1076247144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135430 (or 2135423 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 1076247144 is about 32806.2058763277. The cubic root of 1076247144 is about 1024.7958011627.

The spelling of 1076247144 in words is "one billion, seventy-six million, two hundred forty-seven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 2135411 4270822 6406233 8541644 12812466 14947877 17083288 19218699 25624932 29895754 38437398 44843631 51249864 59791508 76874796 89687262 119583016 134530893 153749592 179374524 269061786 358749048 538123572 1076247144