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970672 = 241931103
BaseRepresentation
bin11101100111110110000
31211022111211
43230332300
5222030142
632445504
711151643
oct3547660
91738454
10970672
1160330a
123a9894
1327ca81
141b3a5a
15142917
hexecfb0

970672 has 40 divisors (see below), whose sum is σ = 2063360. Its totient is φ = 440640.

The previous prime is 970667. The next prime is 970687. The reversal of 970672 is 276079.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

970672 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9373 + ... + 9475.

It is an arithmetic number, because the mean of its divisors is an integer number (51584).

2970672 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 970672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031680).

970672 is an abundant number, since it is smaller than the sum of its proper divisors (1092688).

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

970672 is a wasteful number, since it uses less digits than its factorization.

970672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 31.

The square root of 970672 is about 985.2268774247. The cubic root of 970672 is about 99.0126841552.

The spelling of 970672 in words is "nine hundred seventy thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 19 31 38 62 76 103 124 152 206 248 304 412 496 589 824 1178 1648 1957 2356 3193 3914 4712 6386 7828 9424 12772 15656 25544 31312 51088 60667 121334 242668 485336 970672