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746980 = 22513317
BaseRepresentation
bin10110110010111100100
31101221122221
42312113210
5142400410
624002124
76230533
oct2662744
91357587
10746980
11470243
12300344
13202000
1415631a
15eb4da
hexb65e4

746980 has 48 divisors (see below), whose sum is σ = 1799280. Its totient is φ = 259584.

The previous prime is 746969. The next prime is 746981. The reversal of 746980 is 89647.

It can be written as a sum of positive squares in 8 ways, for example, as 459684 + 287296 = 678^2 + 536^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (746981) by changing a digit.

746980 is an untouchable number, because it is not equal to the sum of proper divisors of any 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 15 ways as a sum of consecutive naturals, for example, 43932 + ... + 43948.

It is an arithmetic number, because the mean of its divisors is an integer number (37485).

2746980 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 746980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899640).

746980 is an abundant number, since it is smaller than the sum of its proper divisors (1052300).

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

746980 is a wasteful number, since it uses less digits than its factorization.

746980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 746980 is about 864.2800472069. The cubic root of 746980 is about 90.7339166098.

The spelling of 746980 in words is "seven hundred forty-six thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 169 170 221 260 338 340 442 676 845 884 1105 1690 2197 2210 2873 3380 4394 4420 5746 8788 10985 11492 14365 21970 28730 37349 43940 57460 74698 149396 186745 373490 746980