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5464320 = 28351423
BaseRepresentation
bin10100110110000100000000
3101021121122020
4110312010000
52344324240
6313041440
764305651
oct24660400
911247566
105464320
1130a2474
1219b6280
131194234
14a23528
1572e0d0
hex536100

5464320 has 72 divisors (see below), whose sum is σ = 17463936. Its totient is φ = 1456128.

The previous prime is 5464313. The next prime is 5464321. The reversal of 5464320 is 234645.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (5464321) 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 7 ways as a sum of consecutive naturals, for example, 3129 + ... + 4551.

Almost surely, 25464320 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 5464320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8731968).

5464320 is an abundant number, since it is smaller than the sum of its proper divisors (11999616).

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

5464320 is a wasteful number, since it uses less digits than its factorization.

5464320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1447 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 5464320 is about 2337.5885009984. The cubic root of 5464320 is about 176.1348828280.

Adding to 5464320 its reverse (234645), we get a palindrome (5698965).

The spelling of 5464320 in words is "five million, four hundred sixty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1423 1920 2846 3840 4269 5692 7115 8538 11384 14230 17076 21345 22768 28460 34152 42690 45536 56920 68304 85380 91072 113840 136608 170760 182144 227680 273216 341520 364288 455360 546432 683040 910720 1092864 1366080 1821440 2732160 5464320