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1604064 = 253721131
BaseRepresentation
bin110000111100111100000
310000111100210
412013213200
5402312224
654214120
716430400
oct6074740
93014323
101604064
119a6180
12654340
13442167
142da800
1521a429
hex1879e0

1604064 has 144 divisors (see below), whose sum is σ = 5515776. Its totient is φ = 403200.

The previous prime is 1604059. The next prime is 1604081. The reversal of 1604064 is 4604061.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1604064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51729 + ... + 51759.

It is an arithmetic number, because the mean of its divisors is an integer number (38304).

21604064 is an apocalyptic number.

1604064 is a gapful number since it is divisible by the number (14) 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 1604064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757888).

1604064 is an abundant number, since it is smaller than the sum of its proper divisors (3911712).

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

1604064 is a wasteful number, since it uses less digits than its factorization.

1604064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1604064 is about 1266.5164823246. The cubic root of 1604064 is about 117.0596525381.

It can be divided in two parts, 160 and 4064, that added together give a palindrome (4224).

The spelling of 1604064 in words is "one million, six hundred four thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 31 32 33 42 44 48 49 56 62 66 77 84 88 93 96 98 112 124 132 147 154 168 176 186 196 217 224 231 248 264 294 308 336 341 352 372 392 434 462 496 528 539 588 616 651 672 682 744 784 868 924 992 1023 1056 1078 1176 1232 1302 1364 1488 1519 1568 1617 1736 1848 2046 2156 2352 2387 2464 2604 2728 2976 3038 3234 3472 3696 4092 4312 4557 4704 4774 5208 5456 6076 6468 6944 7161 7392 8184 8624 9114 9548 10416 10912 12152 12936 14322 16368 16709 17248 18228 19096 20832 24304 25872 28644 32736 33418 36456 38192 48608 50127 51744 57288 66836 72912 76384 100254 114576 133672 145824 200508 229152 267344 401016 534688 802032 1604064