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620880 = 243513199
BaseRepresentation
bin10010111100101010000
31011112200120
42113211100
5124332010
621150240
75164101
oct2274520
91145616
10620880
11394527
1225b380
131897b0
141223a8
15c3e70
hex97950

620880 has 80 divisors (see below), whose sum is σ = 2083200. Its totient is φ = 152064.

The previous prime is 620869. The next prime is 620887. The reversal of 620880 is 88026.

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

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 620880.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 620880.

It is not an unprimeable number, because it can be changed into a prime (620887) by changing a digit.

620880 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, 3021 + ... + 3219.

It is an arithmetic number, because the mean of its divisors is an integer number (26040).

2620880 is an apocalyptic number.

620880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 620880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041600).

620880 is an abundant number, since it is smaller than the sum of its proper divisors (1462320).

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

620880 is a wasteful number, since it uses less digits than its factorization.

620880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 620880 is about 787.9593898165. The cubic root of 620880 is about 85.3105136464.

The spelling of 620880 in words is "six hundred twenty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 199 208 240 260 312 390 398 520 597 624 780 796 995 1040 1194 1560 1592 1990 2388 2587 2985 3120 3184 3980 4776 5174 5970 7761 7960 9552 10348 11940 12935 15522 15920 20696 23880 25870 31044 38805 41392 47760 51740 62088 77610 103480 124176 155220 206960 310440 620880