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66138156 = 223272311411
BaseRepresentation
bin1111110001001…
…1000000101100
311121110011111100
43330103000230
5113412410111
610321323100
71432110420
oct374230054
9147404440
1066138156
1134373637
121a196490
1310918b06
148ad8b80
155c16756
hex3f1302c

66138156 has 72 divisors (see below), whose sum is σ = 199390464. Its totient is φ = 18073440.

The previous prime is 66138139. The next prime is 66138157. The reversal of 66138156 is 65183166.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 66138156.

It is not an unprimeable number, because it can be changed into a prime (66138157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91 + ... + 11501.

It is an arithmetic number, because the mean of its divisors is an integer number (2769312).

Almost surely, 266138156 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 66138156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99695232).

66138156 is an abundant number, since it is smaller than the sum of its proper divisors (133252308).

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

66138156 is a wasteful number, since it uses less digits than its factorization.

66138156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11451 (or 11446 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 66138156 is about 8132.5368735715. The cubic root of 66138156 is about 404.4057861206.

The spelling of 66138156 in words is "sixty-six million, one hundred thirty-eight thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 36 42 46 63 69 84 92 126 138 161 207 252 276 322 414 483 644 828 966 1449 1932 2898 5796 11411 22822 34233 45644 68466 79877 102699 136932 159754 205398 239631 262453 319508 410796 479262 524906 718893 787359 958524 1049812 1437786 1574718 1837171 2362077 2875572 3149436 3674342 4724154 5511513 7348684 9448308 11023026 16534539 22046052 33069078 66138156