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66157050 = 235219139167
BaseRepresentation
bin1111110001011…
…1100111111010
311121111010102010
43330113213322
5113414011200
610321550350
71432216461
oct374274772
9147433363
1066157050
1134386853
121a1a53b6
13109245ab
148b019d8
155c1c150
hex3f179fa

66157050 has 96 divisors (see below), whose sum is σ = 174988800. Its totient is φ = 16493760.

The previous prime is 66156989. The next prime is 66157051. The reversal of 66157050 is 5075166.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 66156999 and 66157017.

It is not an unprimeable number, because it can be changed into a prime (66157051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 396067 + ... + 396233.

It is an arithmetic number, because the mean of its divisors is an integer number (1822800).

Almost surely, 266157050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66157050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87494400).

66157050 is an abundant number, since it is smaller than the sum of its proper divisors (108831750).

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

66157050 is a wasteful number, since it uses less digits than its factorization.

66157050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 66157050 is about 8133.6984207678. The cubic root of 66157050 is about 404.4442919590. Note that the first 3 decimals are identical.

The spelling of 66157050 in words is "sixty-six million, one hundred fifty-seven thousand, fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 38 50 57 75 95 114 139 150 167 190 278 285 334 417 475 501 570 695 834 835 950 1002 1390 1425 1670 2085 2505 2641 2850 3173 3475 4170 4175 5010 5282 6346 6950 7923 8350 9519 10425 12525 13205 15846 15865 19038 20850 23213 25050 26410 31730 39615 46426 47595 66025 69639 79230 79325 95190 116065 132050 139278 158650 198075 232130 237975 348195 396150 441047 475950 580325 696390 882094 1160650 1323141 1740975 2205235 2646282 3481950 4410470 6615705 11026175 13231410 22052350 33078525 66157050