Search a number
-
+
66697152 = 263383907
BaseRepresentation
bin1111111001101…
…1011111000000
311122111120021220
43332123133000
5114033302102
610341315040
71436626224
oct376333700
9148446256
1066697152
1134715615
121a405a80
1310a83392
148c02784
155cc71bc
hex3f9b7c0

66697152 has 56 divisors (see below), whose sum is σ = 177125376. Its totient is φ = 22149888.

The previous prime is 66697123. The next prime is 66697159. The reversal of 66697152 is 25179666.

It is a super-2 number, since 2×666971522 = 8897020169822208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66697159) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 73083 + ... + 73989.

Almost surely, 266697152 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 66697152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88562688).

66697152 is an abundant number, since it is smaller than the sum of its proper divisors (110428224).

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

66697152 is a wasteful number, since it uses less digits than its factorization.

66697152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1295 counting only the distinct ones).

The product of its digits is 136080, while the sum is 42.

The square root of 66697152 is about 8166.8324336918. The cubic root of 66697152 is about 405.5419296048.

The spelling of 66697152 in words is "sixty-six million, six hundred ninety-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 383 766 907 1149 1532 1814 2298 2721 3064 3628 4596 5442 6128 7256 9192 10884 12256 14512 18384 21768 24512 29024 36768 43536 58048 73536 87072 174144 347381 694762 1042143 1389524 2084286 2779048 4168572 5558096 8337144 11116192 16674288 22232384 33348576 66697152