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1239680 = 27513149
BaseRepresentation
bin100101110101010000000
32022222112002
410232222000
5304132210
642323132
713352141
oct4565200
92288462
101239680
11777432
124b94a8
13345350
14243ac8
151974a5
hex12ea80

1239680 has 64 divisors (see below), whose sum is σ = 3213000. Its totient is φ = 454656.

The previous prime is 1239671. The next prime is 1239697. The reversal of 1239680 is 869321.

It can be written as a sum of positive squares in 4 ways, for example, as 506944 + 732736 = 712^2 + 856^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a nialpdrome in base 11.

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, 8246 + ... + 8394.

21239680 is an apocalyptic number.

1239680 is a gapful number since it is divisible by the number (10) 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 1239680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1606500).

1239680 is an abundant number, since it is smaller than the sum of its proper divisors (1973320).

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

1239680 is a wasteful number, since it uses less digits than its factorization.

1239680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 1239680 is about 1113.4091790532. The cubic root of 1239680 is about 107.4244646946.

The spelling of 1239680 in words is "one million, two hundred thirty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 149 160 208 260 298 320 416 520 596 640 745 832 1040 1192 1490 1664 1937 2080 2384 2980 3874 4160 4768 5960 7748 8320 9536 9685 11920 15496 19072 19370 23840 30992 38740 47680 61984 77480 95360 123968 154960 247936 309920 619840 1239680