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61000002 = 23272233197
BaseRepresentation
bin1110100010110…
…0100101000010
311020210010021100
43220230211002
5111104000002
610015235230
71340330400
oct350544502
9136703240
1061000002
1131484228
1218518b16
13c83a19b
14815c470
15554e11c
hex3a2c942

61000002 has 144 divisors (see below), whose sum is σ = 167311872. Its totient is φ = 15966720.

The previous prime is 61000001. The next prime is 61000003. The reversal of 61000002 is 20000016.

It is an interprime number because it is at equal distance from previous prime (61000001) and next prime (61000003).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (61000001) 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 71 ways as a sum of consecutive naturals, for example, 628818 + ... + 628914.

It is an arithmetic number, because the mean of its divisors is an integer number (1161888).

Almost surely, 261000002 is an apocalyptic number.

61000002 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 61000002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83655936).

61000002 is an abundant number, since it is smaller than the sum of its proper divisors (106311870).

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

61000002 is a wasteful number, since it uses less digits than its factorization.

61000002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 61000002 is about 7810.2498039435. The cubic root of 61000002 is about 393.6497226124.

Adding to 61000002 its reverse (20000016), we get a palindrome (81000018).

The spelling of 61000002 in words is "sixty-one million, two", and thus it is an aban number and an uban number.

Divisors: 1 2 3 6 7 9 14 18 21 23 31 42 46 49 62 63 69 93 97 98 126 138 147 161 186 194 207 217 279 291 294 322 414 434 441 483 558 582 651 679 713 873 882 966 1127 1302 1358 1426 1449 1519 1746 1953 2037 2139 2231 2254 2898 3007 3038 3381 3906 4074 4278 4462 4557 4753 4991 6014 6111 6417 6693 6762 9021 9114 9506 9982 10143 12222 12834 13386 13671 14259 14973 15617 18042 20079 20286 21049 27063 27342 28518 29946 31234 34937 40158 42098 42777 44919 46851 54126 63147 69161 69874 85554 89838 93702 104811 109319 126294 138322 140553 147343 189441 207483 209622 218638 281106 294686 314433 327957 378882 414966 442029 484127 622449 628866 655914 884058 968254 983871 1244898 1326087 1452381 1967742 2652174 2904762 3388889 4357143 6777778 8714286 10166667 20333334 30500001 61000002