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5354960 = 2451319271
BaseRepresentation
bin10100011011010111010000
3101002001121212
4110123113100
52332324320
6310435252
763342062
oct24332720
911061555
105354960
113028296
121962b28
131156520
149d5732
1570b9c5
hex51b5d0

5354960 has 80 divisors (see below), whose sum is σ = 14165760. Its totient is φ = 1866240.

The previous prime is 5354953. The next prime is 5354963. The reversal of 5354960 is 694535.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×53549603 (a number of 21 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5354963) 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 15 ways as a sum of consecutive naturals, for example, 19625 + ... + 19895.

It is an arithmetic number, because the mean of its divisors is an integer number (177072).

Almost surely, 25354960 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 5354960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7082880).

5354960 is an abundant number, since it is smaller than the sum of its proper divisors (8810800).

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

5354960 is a wasteful number, since it uses less digits than its factorization.

5354960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 32.

The square root of 5354960 is about 2314.0786503488. The cubic root of 5354960 is about 174.9519323766.

The spelling of 5354960 in words is "five million, three hundred fifty-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 19 20 26 38 40 52 65 76 80 95 104 130 152 190 208 247 260 271 304 380 494 520 542 760 988 1040 1084 1235 1355 1520 1976 2168 2470 2710 3523 3952 4336 4940 5149 5420 7046 9880 10298 10840 14092 17615 19760 20596 21680 25745 28184 35230 41192 51490 56368 66937 70460 82384 102980 133874 140920 205960 267748 281840 334685 411920 535496 669370 1070992 1338740 2677480 5354960