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67141632 = 2153683
BaseRepresentation
bin1000000000010…
…00000000000000
311200100011000010
410000020000000
5114142013012
610355024520
71443460125
oct400100000
9150304003
1067141632
1134999558
121a59b140
1310baa79c
148cba74c
155d63c3c
hex4008000

67141632 has 64 divisors (see below), whose sum is σ = 179303760. Its totient is φ = 22347776.

The previous prime is 67141631. The next prime is 67141637. The reversal of 67141632 is 23614176.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 67141632.

It is not an unprimeable number, because it can be changed into a prime (67141631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (2) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 97963 + ... + 98645.

Almost surely, 267141632 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 67141632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89651880).

67141632 is an abundant number, since it is smaller than the sum of its proper divisors (112162128).

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

67141632 is an frugal number, since it uses more digits than its factorization.

67141632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 688 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 67141632 is about 8193.9997559190. Note that the first 3 decimals coincide. The cubic root of 67141632 is about 406.4408002520.

The spelling of 67141632 in words is "sixty-seven million, one hundred forty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 683 768 1024 1366 1536 2048 2049 2732 3072 4096 4098 5464 6144 8192 8196 10928 12288 16384 16392 21856 24576 32768 32784 43712 49152 65568 87424 98304 131136 174848 262272 349696 524544 699392 1049088 1398784 2098176 2797568 4196352 5595136 8392704 11190272 16785408 22380544 33570816 67141632