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61000000 = 265661
BaseRepresentation
bin1110100010110…
…0100101000000
311020210010021021
43220230211000
5111104000000
610015235224
71340330365
oct350544500
9136703237
1061000000
1131484226
1218518b14
13c83a199
14815c46c
15554e11a
hex3a2c940

61000000 has 98 divisors (see below), whose sum is σ = 153787094. Its totient is φ = 24000000.

The previous prime is 60999959. The next prime is 61000001. The reversal of 61000000 is 16.

Adding to 61000000 its reverse (16), we get a palindrome (61000016).

It can be written as a sum of positive squares in 7 ways, for example, as 54405376 + 6594624 = 7376^2 + 2568^2 .

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61000001) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 999970 + ... + 1000030.

Almost surely, 261000000 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 61000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76893547).

61000000 is an abundant number, since it is smaller than the sum of its proper divisors (92787094).

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

61000000 is an frugal number, since it uses more digits than its factorization.

61000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 61000000 is about 7810.2496759067. The cubic root of 61000000 is about 393.6497183102.

The spelling of 61000000 in words is "sixty-one million", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 61 64 80 100 122 125 160 200 244 250 305 320 400 488 500 610 625 800 976 1000 1220 1250 1525 1600 1952 2000 2440 2500 3050 3125 3904 4000 4880 5000 6100 6250 7625 8000 9760 10000 12200 12500 15250 15625 19520 20000 24400 25000 30500 31250 38125 40000 48800 50000 61000 62500 76250 97600 100000 122000 125000 152500 190625 200000 244000 250000 305000 381250 488000 500000 610000 762500 953125 1000000 1220000 1525000 1906250 2440000 3050000 3812500 6100000 7625000 12200000 15250000 30500000 61000000