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66158240 = 2553791091
BaseRepresentation
bin1111110001011…
…1111010100000
311121111012001012
43330113322200
5113414030430
610322000052
71432223111
oct374277240
9147435035
1066158240
1134387735
121a1a6028
1310924cb5
148b02208
155c1c695
hex3f17ea0

66158240 has 48 divisors (see below), whose sum is σ = 156854880. Its totient is φ = 26369280.

The previous prime is 66158231. The next prime is 66158263. The reversal of 66158240 is 4285166.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 66158197 and 66158206.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60095 + ... + 61185.

It is an arithmetic number, because the mean of its divisors is an integer number (3267810).

Almost surely, 266158240 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 66158240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78427440).

66158240 is an abundant number, since it is smaller than the sum of its proper divisors (90696640).

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

66158240 is a wasteful number, since it uses less digits than its factorization.

66158240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485 (or 1477 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 66158240 is about 8133.7715728929. The cubic root of 66158240 is about 404.4467169252.

The spelling of 66158240 in words is "sixty-six million, one hundred fifty-eight thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 379 758 1091 1516 1895 2182 3032 3790 4364 5455 6064 7580 8728 10910 12128 15160 17456 21820 30320 34912 43640 60640 87280 174560 413489 826978 1653956 2067445 3307912 4134890 6615824 8269780 13231648 16539560 33079120 66158240