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5412480 = 27352819
BaseRepresentation
bin10100101001011010000000
3101011222112020
4110221122000
52341144410
6312001440
764001553
oct24513200
911158466
105412480
113067527
121990280
131176768
14a0c69a
1571da70
hex529680

5412480 has 64 divisors (see below), whose sum is σ = 17258400. Its totient is φ = 1442816.

The previous prime is 5412479. The next prime is 5412481. The reversal of 5412480 is 842145.

It is an interprime number because it is at equal distance from previous prime (5412479) and next prime (5412481).

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 5412480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5412481) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 511 + ... + 3329.

Almost surely, 25412480 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 5412480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8629200).

5412480 is an abundant number, since it is smaller than the sum of its proper divisors (11845920).

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

5412480 is a wasteful number, since it uses less digits than its factorization.

5412480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2841 (or 2829 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 5412480 is about 2326.4737264796. The cubic root of 5412480 is about 175.5761149048.

The spelling of 5412480 in words is "five million, four hundred twelve thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 2819 5638 8457 11276 14095 16914 22552 28190 33828 42285 45104 56380 67656 84570 90208 112760 135312 169140 180416 225520 270624 338280 360832 451040 541248 676560 902080 1082496 1353120 1804160 2706240 5412480