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672065152 = 27112320753
BaseRepresentation
bin101000000011101…
…110011010000000
31201211121110001221
4220003232122000
52334022041102
6150404404424
722440313423
oct5003563200
91654543057
10672065152
113153aa550
121690a6714
13a930b3b5
14653859ba
153e005637
hex280ee680

672065152 has 64 divisors (see below), whose sum is σ = 1524173760. Its totient is φ = 292188160.

The previous prime is 672065143. The next prime is 672065159. The reversal of 672065152 is 251560276.

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

It is not an unprimeable number, because it can be changed into a prime (672065159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22008 + ... + 42760.

It is an arithmetic number, because the mean of its divisors is an integer number (23815215).

Almost surely, 2672065152 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 672065152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762086880).

672065152 is an abundant number, since it is smaller than the sum of its proper divisors (852108608).

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

672065152 is a wasteful number, since it uses less digits than its factorization.

672065152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20801 (or 20789 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 34.

The square root of 672065152 is about 25924.2194096563. The cubic root of 672065152 is about 875.9321340500.

The spelling of 672065152 in words is "six hundred seventy-two million, sixty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 128 176 184 253 352 368 506 704 736 1012 1408 1472 2024 2944 4048 8096 16192 20753 32384 41506 83012 166024 228283 332048 456566 477319 664096 913132 954638 1328192 1826264 1909276 2656384 3652528 3818552 5250509 7305056 7637104 10501018 14610112 15274208 21002036 29220224 30548416 42004072 61096832 84008144 168016288 336032576 672065152