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745680 = 243513239
BaseRepresentation
bin10110110000011010000
31101212212210
42312003100
5142330210
623552120
76223665
oct2660320
91355783
10745680
1146a271
122bb640
13201540
14155a6c
15eae20
hexb60d0

745680 has 80 divisors (see below), whose sum is σ = 2499840. Its totient is φ = 182784.

The previous prime is 745673. The next prime is 745697. The reversal of 745680 is 86547.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3001 + ... + 3239.

It is an arithmetic number, because the mean of its divisors is an integer number (31248).

2745680 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 745680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249920).

745680 is an abundant number, since it is smaller than the sum of its proper divisors (1754160).

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

745680 is a wasteful number, since it uses less digits than its factorization.

745680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 745680 is about 863.5276486598. The cubic root of 745680 is about 90.6812500571.

The spelling of 745680 in words is "seven hundred forty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 239 240 260 312 390 478 520 624 717 780 956 1040 1195 1434 1560 1912 2390 2868 3107 3120 3585 3824 4780 5736 6214 7170 9321 9560 11472 12428 14340 15535 18642 19120 24856 28680 31070 37284 46605 49712 57360 62140 74568 93210 124280 149136 186420 248560 372840 745680