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672141700 = 225229415653
BaseRepresentation
bin101000000100000…
…001000110000100
31201211202100002001
4220010001012010
52334032013300
6150410155044
722441052536
oct5004010604
91654670061
10672141700
1131545200a
12169122a84
13a93371a9
14653a5856
153e01d16a
hex28101184

672141700 has 72 divisors (see below), whose sum is σ = 1545916680. Its totient is φ = 253209600.

The previous prime is 672141683. The next prime is 672141709. The reversal of 672141700 is 7141276.

It can be written as a sum of positive squares in 12 ways, for example, as 248440644 + 423701056 = 15762^2 + 20584^2 .

It is not an unprimeable number, because it can be changed into a prime (672141709) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116074 + ... + 121726.

It is an arithmetic number, because the mean of its divisors is an integer number (21471065).

Almost surely, 2672141700 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 672141700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772958340).

672141700 is an abundant number, since it is smaller than the sum of its proper divisors (873774980).

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

672141700 is a wasteful number, since it uses less digits than its factorization.

672141700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5737 (or 5730 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 28.

The square root of 672141700 is about 25925.6957476555. The cubic root of 672141700 is about 875.9653889149.

Adding to 672141700 its reverse (7141276), we get a palindrome (679282976).

The spelling of 672141700 in words is "six hundred seventy-two million, one hundred forty-one thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 29 41 50 58 82 100 116 145 164 205 290 410 580 725 820 1025 1189 1450 2050 2378 2900 4100 4756 5653 5945 11306 11890 22612 23780 28265 29725 56530 59450 113060 118900 141325 163937 231773 282650 327874 463546 565300 655748 819685 927092 1158865 1639370 2317730 3278740 4098425 4635460 5794325 6721417 8196850 11588650 13442834 16393700 23177300 26885668 33607085 67214170 134428340 168035425 336070850 672141700