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671689620 = 223257601887
BaseRepresentation
bin101000000010010…
…010101110010100
31201210220100221100
4220002102232110
52333423031440
6150352350100
722434160530
oct5002225624
91653810840
10671689620
11315173398
12168b45330
13a92094a4
14652c8bc0
153de7e230
hex28092b94

671689620 has 144 divisors (see below), whose sum is σ = 2335027968. Its totient is φ = 153100800.

The previous prime is 671689609. The next prime is 671689621. The reversal of 671689620 is 26986176.

671689620 is a `hidden beast` number, since 6 + 7 + 16 + 8 + 9 + 620 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (671689621) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 756817 + ... + 757703.

It is an arithmetic number, because the mean of its divisors is an integer number (16215472).

Almost surely, 2671689620 is an apocalyptic number.

671689620 is a gapful number since it is divisible by the number (60) 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 671689620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167513984).

671689620 is an abundant number, since it is smaller than the sum of its proper divisors (1663338348).

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

671689620 is a wasteful number, since it uses less digits than its factorization.

671689620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 671689620 is about 25916.9755179882. The cubic root of 671689620 is about 875.7689545170.

The spelling of 671689620 in words is "six hundred seventy-one million, six hundred eighty-nine thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 601 630 887 1202 1260 1774 1803 2404 2661 3005 3548 3606 4207 4435 5322 5409 6010 6209 7212 7983 8414 8870 9015 10644 10818 12020 12418 12621 13305 15966 16828 17740 18030 18627 21035 21636 24836 25242 26610 27045 31045 31932 36060 37254 37863 39915 42070 50484 53220 54090 55881 62090 63105 74508 75726 79830 84140 93135 108180 111762 124180 126210 151452 159660 186270 189315 223524 252420 279405 372540 378630 533087 558810 757260 1066174 1117620 1599261 2132348 2665435 3198522 3731609 4797783 5330870 6397044 7463218 7996305 9595566 10661740 11194827 14926436 15992610 18658045 19191132 22389654 23988915 31985220 33584481 37316090 44779308 47977830 55974135 67168962 74632180 95955660 111948270 134337924 167922405 223896540 335844810 671689620