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670131840 = 27357217419
BaseRepresentation
bin100111111100010…
…110011010000000
31201200222020001210
4213330112122000
52333023204330
6150255130120
722415012100
oct4774263200
91650866053
10670131840
113142a9a74
12168513940
13a8ab2421
1465001200
153dc728b0
hex27f16680

670131840 has 384 divisors, whose sum is σ = 2637230400. Its totient is φ = 143818752.

The previous prime is 670131829. The next prime is 670131871. The reversal of 670131840 is 48131076.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 670131798 and 670131807.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1599151 + ... + 1599569.

Almost surely, 2670131840 is an apocalyptic number.

670131840 is a gapful number since it is divisible by the number (60) 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 670131840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1318615200).

670131840 is an abundant number, since it is smaller than the sum of its proper divisors (1967098560).

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

670131840 is a wasteful number, since it uses less digits than its factorization.

670131840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 670131840 is about 25886.9047975999. The cubic root of 670131840 is about 875.0914037848.

The spelling of 670131840 in words is "six hundred seventy million, one hundred thirty-one thousand, eight hundred forty".