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1682072 = 2373613
BaseRepresentation
bin110011010101010011000
310011110100222
412122222120
5412311242
6100015212
720204000
oct6325230
93143328
101682072
11a49847
12691508
1346b812
1431b000
152335d2
hex19aa98

1682072 has 32 divisors (see below), whose sum is σ = 3684000. Its totient is φ = 719712.

The previous prime is 1682069. The next prime is 1682081. The reversal of 1682072 is 2702861.

It is a d-powerful number, because it can be written as 1 + 68 + 82 + 210 + 0 + 73 + 210 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2438 + ... + 3050.

It is an arithmetic number, because the mean of its divisors is an integer number (115125).

21682072 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 1682072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1842000).

1682072 is an abundant number, since it is smaller than the sum of its proper divisors (2001928).

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

1682072 is an equidigital number, since it uses as much as digits as its factorization.

1682072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 26.

The square root of 1682072 is about 1296.9471847381. The cubic root of 1682072 is about 118.9272912243.

The spelling of 1682072 in words is "one million, six hundred eighty-two thousand, seventy-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 343 392 613 686 1226 1372 2452 2744 4291 4904 8582 17164 30037 34328 60074 120148 210259 240296 420518 841036 1682072