Search a number
-
+
1604664 = 2333171923
BaseRepresentation
bin110000111110000111000
310000112012000
412013300320
5402322124
654221000
716432215
oct6076070
93015160
101604664
119a6676
12654760
13442509
142dab0c
1521a6c9
hex187c38

1604664 has 128 divisors (see below), whose sum is σ = 5184000. Its totient is φ = 456192.

The previous prime is 1604651. The next prime is 1604711. The reversal of 1604664 is 4664061.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 6.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69757 + ... + 69779.

It is an arithmetic number, because the mean of its divisors is an integer number (40500).

21604664 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 1604664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2592000).

1604664 is an abundant number, since it is smaller than the sum of its proper divisors (3579336).

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

1604664 is a wasteful number, since it uses less digits than its factorization.

1604664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 1604664 is about 1266.7533303686. The cubic root of 1604664 is about 117.0742461029.

It can be divided in two parts, 16046 and 64, that added together give a triangular number (16110 = T179).

The spelling of 1604664 in words is "one million, six hundred four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 19 23 24 27 34 36 38 46 51 54 57 68 69 72 76 92 102 108 114 136 138 152 153 171 184 204 207 216 228 276 306 323 342 391 408 414 437 456 459 513 552 612 621 646 684 782 828 874 918 969 1026 1173 1224 1242 1292 1311 1368 1564 1656 1748 1836 1938 2052 2346 2484 2584 2622 2907 3128 3496 3519 3672 3876 3933 4104 4692 4968 5244 5814 7038 7429 7752 7866 8721 9384 10488 10557 11628 11799 14076 14858 15732 17442 21114 22287 23256 23598 28152 29716 31464 34884 42228 44574 47196 59432 66861 69768 84456 89148 94392 133722 178296 200583 267444 401166 534888 802332 1604664