Search a number
-
+
5954040 = 2333537149
BaseRepresentation
bin10110101101100111111000
3102012111102000
4112231213320
53011012130
6331341000
7101415501
oct26554770
912174360
105954040
1133a73a4
121bb1760
131306101
14b0dba8
157c9260
hex5ad9f8

5954040 has 128 divisors (see below), whose sum is σ = 20520000. Its totient is φ = 1534464.

The previous prime is 5954023. The next prime is 5954041. The reversal of 5954040 is 404595.

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

It is a junction number, because it is equal to n+sod(n) for n = 5953995 and 5954013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5954041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39886 + ... + 40034.

Almost surely, 25954040 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 5954040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10260000).

5954040 is an abundant number, since it is smaller than the sum of its proper divisors (14565960).

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

5954040 is a wasteful number, since it uses less digits than its factorization.

5954040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5954040 is about 2440.0901622686. The cubic root of 5954040 is about 181.2468980841.

The spelling of 5954040 in words is "five million, nine hundred fifty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 37 40 45 54 60 72 74 90 108 111 120 135 148 149 180 185 216 222 270 296 298 333 360 370 444 447 540 555 596 666 740 745 888 894 999 1080 1110 1192 1332 1341 1480 1490 1665 1788 1998 2220 2235 2664 2682 2980 3330 3576 3996 4023 4440 4470 4995 5364 5513 5960 6660 6705 7992 8046 8940 9990 10728 11026 13320 13410 16092 16539 17880 19980 20115 22052 26820 27565 32184 33078 39960 40230 44104 49617 53640 55130 66156 80460 82695 99234 110260 132312 148851 160920 165390 198468 220520 248085 297702 330780 396936 496170 595404 661560 744255 992340 1190808 1488510 1984680 2977020 5954040