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669680820 = 223257734813
BaseRepresentation
bin100111111010101…
…000010010110100
31201200010022101100
4213322220102310
52332414241240
6150241330100
722411123134
oct4772502264
91650108340
10669680820
11314021126
12168336930
13a8985053
1464d24ac4
153dbd3e30
hex27ea84b4

669680820 has 72 divisors (see below), whose sum is σ = 2034415656. Its totient is φ = 178313472.

The previous prime is 669680771. The next prime is 669680833. The reversal of 669680820 is 28086966.

669680820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 23097636 + 646583184 = 4806^2 + 25428^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136734 + ... + 141546.

It is an arithmetic number, because the mean of its divisors is an integer number (28255773).

Almost surely, 2669680820 is an apocalyptic number.

669680820 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

669680820 is an abundant number, since it is smaller than the sum of its proper divisors (1364734836).

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

669680820 is a wasteful number, since it uses less digits than its factorization.

669680820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5601 (or 5596 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 669680820 is about 25878.1919770296. The cubic root of 669680820 is about 874.8950382940.

The spelling of 669680820 in words is "six hundred sixty-nine million, six hundred eighty thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 773 1546 2319 3092 3865 4638 4813 6957 7730 9276 9626 11595 13914 14439 15460 19252 23190 24065 27828 28878 34785 43317 46380 48130 57756 69570 72195 86634 96260 139140 144390 173268 216585 288780 433170 866340 3720449 7440898 11161347 14881796 18602245 22322694 33484041 37204490 44645388 55806735 66968082 74408980 111613470 133936164 167420205 223226940 334840410 669680820