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61970000 = 24546197
BaseRepresentation
bin1110110001100…
…1011001010000
311022121101212012
43230121121100
5111331020000
610052122052
71351510361
oct354313120
9138541765
1061970000
1131a86a84
1218906328
13cab9851
148331b68
155691735
hex3b19650

61970000 has 50 divisors (see below), whose sum is σ = 150059778. Its totient is φ = 24784000.

The previous prime is 61969987. The next prime is 61970003. The reversal of 61970000 is 7916.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 27583504 + 34386496 = 5252^2 + 5864^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61970003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 6902 + ... + 13098.

Almost surely, 261970000 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 61970000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75029889).

61970000 is an abundant number, since it is smaller than the sum of its proper divisors (88089778).

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

61970000 is an equidigital number, since it uses as much as digits as its factorization.

61970000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6225 (or 6204 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 23.

The square root of 61970000 is about 7872.1026416073. The cubic root of 61970000 is about 395.7253137075.

Adding to 61970000 its reverse (7916), we get a palindrome (61977916).

The spelling of 61970000 in words is "sixty-one million, nine hundred seventy thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 6197 10000 12394 24788 30985 49576 61970 99152 123940 154925 247880 309850 495760 619700 774625 1239400 1549250 2478800 3098500 3873125 6197000 7746250 12394000 15492500 30985000 61970000