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1076670144 = 26341179239
BaseRepresentation
bin100000000101100…
…1010111011000000
32210000221111210000
41000023022323000
54201111421034
6254500440000
735452355004
oct10013127300
92700844700
101076670144
11502830240
122606a9000
131420a2a34
14a2dc8704
15647c8599
hex402caec0

1076670144 has 280 divisors, whose sum is σ = 3540556800. Its totient is φ = 320785920.

The previous prime is 1076670139. The next prime is 1076670187. The reversal of 1076670144 is 4410766701.

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 = 1076670099 and 1076670108.

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 39 ways as a sum of consecutive naturals, for example, 4504777 + ... + 4505015.

Almost surely, 21076670144 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 1076670144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1770278400).

1076670144 is an abundant number, since it is smaller than the sum of its proper divisors (2463886656).

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

1076670144 is a wasteful number, since it uses less digits than its factorization.

1076670144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 1076670144 is about 32812.6521939328. The cubic root of 1076670144 is about 1024.9300428955.

The spelling of 1076670144 in words is "one billion, seventy-six million, six hundred seventy thousand, one hundred forty-four".