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61022000 = 2453132347
BaseRepresentation
bin1110100011000…
…1111100110000
311020211020110002
43220301330300
5111110201000
610015525132
71340451464
oct350617460
9136736402
1061022000
1131499806
12185297a8
13c8471c0
1481664a4
1555558d5
hex3a31f30

61022000 has 80 divisors (see below), whose sum is σ = 158968992. Its totient is φ = 22521600.

The previous prime is 61021997. The next prime is 61022009. The reversal of 61022000 is 22016.

61022000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (61022009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24827 + ... + 27173.

Almost surely, 261022000 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 61022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79484496).

61022000 is an abundant number, since it is smaller than the sum of its proper divisors (97946992).

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

61022000 is a wasteful number, since it uses less digits than its factorization.

61022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2383 (or 2367 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 61022000 is about 7811.6579546214. The cubic root of 61022000 is about 393.6970366320.

Adding to 61022000 its reverse (22016), we get a palindrome (61044016).

The spelling of 61022000 in words is "sixty-one million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 650 1000 1040 1300 1625 2000 2347 2600 3250 4694 5200 6500 9388 11735 13000 18776 23470 26000 30511 37552 46940 58675 61022 93880 117350 122044 152555 187760 234700 244088 293375 305110 469400 488176 586750 610220 762775 938800 1173500 1220440 1525550 2347000 2440880 3051100 3813875 4694000 6102200 7627750 12204400 15255500 30511000 61022000