Search a number
-
+
61127028 = 22331929789
BaseRepresentation
bin1110100100101…
…1100101110100
311021000120112000
43221023211310
5111122031103
610022055300
71341366624
oct351134564
9137016460
1061127028
1131560706
121857a530
13c882c51
148192884
155576aa3
hex3a4b974

61127028 has 48 divisors (see below), whose sum is σ = 166824000. Its totient is φ = 19302624.

The previous prime is 61127021. The next prime is 61127039. The reversal of 61127028 is 82072116.

61127028 is a `hidden beast` number, since 611 + 27 + 0 + 28 = 666.

It is a super-2 number, since 2×611270282 = 7473027104225568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 61126992 and 61127010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61127021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12843 + ... + 16946.

It is an arithmetic number, because the mean of its divisors is an integer number (3475500).

Almost surely, 261127028 is an apocalyptic number.

It is an amenable number.

61127028 is an abundant number, since it is smaller than the sum of its proper divisors (105696972).

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

61127028 is a wasteful number, since it uses less digits than its factorization.

61127028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29821 (or 29813 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 61127028 is about 7818.3775810586. The cubic root of 61127028 is about 393.9227776887.

The spelling of 61127028 in words is "sixty-one million, one hundred twenty-seven thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1026 2052 29789 59578 89367 119156 178734 268101 357468 536202 565991 804303 1072404 1131982 1608606 1697973 2263964 3217212 3395946 5093919 6791892 10187838 15281757 20375676 30563514 61127028