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545376 = 253131923
BaseRepresentation
bin10000101001001100000
31000201010010
42011021200
5114423001
615404520
74431006
oct2051140
91021103
10545376
11342827
12223740
13161310
14102a76
15ab8d6
hex85260

545376 has 96 divisors (see below), whose sum is σ = 1693440. Its totient is φ = 152064.

The previous prime is 545371. The next prime is 545387. The reversal of 545376 is 673545.

It is a tau number, because it is divible by the number of its divisors (96).

Its product of digits (12600) is a multiple of the sum of its prime divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (545371) by changing a digit.

545376 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23701 + ... + 23723.

It is an arithmetic number, because the mean of its divisors is an integer number (17640).

2545376 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 545376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846720).

545376 is an abundant number, since it is smaller than the sum of its proper divisors (1148064).

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

545376 is a wasteful number, since it uses less digits than its factorization.

545376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 60 counting only the distinct ones).

The product of its digits is 12600, while the sum is 30.

The square root of 545376 is about 738.4957684374. The cubic root of 545376 is about 81.7018719979.

The spelling of 545376 in words is "five hundred forty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 13 16 19 23 24 26 32 38 39 46 48 52 57 69 76 78 92 96 104 114 138 152 156 184 208 228 247 276 299 304 312 368 416 437 456 494 552 598 608 624 736 741 874 897 912 988 1104 1196 1248 1311 1482 1748 1794 1824 1976 2208 2392 2622 2964 3496 3588 3952 4784 5244 5681 5928 6992 7176 7904 9568 10488 11362 11856 13984 14352 17043 20976 22724 23712 28704 34086 41952 45448 68172 90896 136344 181792 272688 545376