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5064960 = 28351319
BaseRepresentation
bin10011010100100100000000
3100112022211010
4103110210000
52244034320
6300320520
761023435
oct23244400
910468733
105064960
11294a41a
121843140
131084524
1495bb8c
156a0ae0
hex4d4900

5064960 has 72 divisors (see below), whose sum is σ = 16188480. Its totient is φ = 1349632.

The previous prime is 5064949. The next prime is 5064971. The reversal of 5064960 is 694605.

It is an interprime number because it is at equal distance from previous prime (5064949) and next prime (5064971).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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, 3181 + ... + 4499.

It is an arithmetic number, because the mean of its divisors is an integer number (224840).

Almost surely, 25064960 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 5064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8094240).

5064960 is an abundant number, since it is smaller than the sum of its proper divisors (11123520).

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

5064960 is a wasteful number, since it uses less digits than its factorization.

5064960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 5064960 is about 2250.5466002729. The cubic root of 5064960 is about 171.7349441957.

The spelling of 5064960 in words is "five million, sixty-four thousand, nine hundred sixty".

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 1319 1920 2638 3840 3957 5276 6595 7914 10552 13190 15828 19785 21104 26380 31656 39570 42208 52760 63312 79140 84416 105520 126624 158280 168832 211040 253248 316560 337664 422080 506496 633120 844160 1012992 1266240 1688320 2532480 5064960