Search a number
-
+
1553904 = 243411109
BaseRepresentation
bin101111011010111110000
32220221120000
411323113300
5344211104
653150000
716131222
oct5732760
92827500
101553904
11971520
1262b300
13425391
142c6412
1520a639
hex17b5f0

1553904 has 100 divisors (see below), whose sum is σ = 4951320. Its totient is φ = 466560.

The previous prime is 1553897. The next prime is 1553927. The reversal of 1553904 is 4093551.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14202 + ... + 14310.

21553904 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 1553904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2475660).

1553904 is an abundant number, since it is smaller than the sum of its proper divisors (3397416).

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

1553904 is a wasteful number, since it uses less digits than its factorization.

1553904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 1553904 is about 1246.5568579090. The cubic root of 1553904 is about 115.8265342293.

The spelling of 1553904 in words is "one million, five hundred fifty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 109 132 144 162 176 198 216 218 264 297 324 327 396 432 436 528 594 648 654 792 872 891 981 1188 1199 1296 1308 1584 1744 1782 1962 2376 2398 2616 2943 3564 3597 3924 4752 4796 5232 5886 7128 7194 7848 8829 9592 10791 11772 14256 14388 15696 17658 19184 21582 23544 28776 32373 35316 43164 47088 57552 64746 70632 86328 97119 129492 141264 172656 194238 258984 388476 517968 776952 1553904