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2572320 = 253523233
BaseRepresentation
bin1001110100000000100000
311211200120010
421310000200
51124303240
6131044520
730602322
oct11640040
94750503
102572320
1114a7693
12a40740
136c0aaa
144ad612
1535c280
hex274020

2572320 has 96 divisors (see below), whose sum is σ = 8491392. Its totient is φ = 653312.

The previous prime is 2572307. The next prime is 2572327. The reversal of 2572320 is 232752.

2572320 = T16 + T17 + ... + T248.

2572320 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2572327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10924 + ... + 11156.

It is an arithmetic number, because the mean of its divisors is an integer number (88452).

22572320 is an apocalyptic number.

2572320 is a gapful number since it is divisible by the number (20) 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 2572320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4245696).

2572320 is an abundant number, since it is smaller than the sum of its proper divisors (5919072).

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

2572320 is a wasteful number, since it uses less digits than its factorization.

2572320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 2572320 is about 1603.8453790812. The cubic root of 2572320 is about 137.0171715561.

The spelling of 2572320 in words is "two million, five hundred seventy-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 69 80 92 96 115 120 138 160 184 230 233 240 276 345 368 460 466 480 552 690 699 736 920 932 1104 1165 1380 1398 1840 1864 2208 2330 2760 2796 3495 3680 3728 4660 5359 5520 5592 6990 7456 9320 10718 11040 11184 13980 16077 18640 21436 22368 26795 27960 32154 37280 42872 53590 55920 64308 80385 85744 107180 111840 128616 160770 171488 214360 257232 321540 428720 514464 643080 857440 1286160 2572320