Search a number
-
+
20154240 = 273253499
BaseRepresentation
bin100110011100…
…0011110000000
31101220221102100
41030320132000
520124413430
61555550400
7333210501
oct114703600
941827370
1020154240
11104161a7
1268bb400
1342386b2
142968ba8
151b81960
hex1338780

20154240 has 96 divisors (see below), whose sum is σ = 69615000. Its totient is φ = 5372928.

The previous prime is 20154227. The next prime is 20154271. The reversal of 20154240 is 4245102.

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4011 + ... + 7509.

Almost surely, 220154240 is an apocalyptic number.

20154240 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 20154240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34807500).

20154240 is an abundant number, since it is smaller than the sum of its proper divisors (49460760).

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

20154240 is a wasteful number, since it uses less digits than its factorization.

20154240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3524 (or 3509 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 20154240 is about 4489.3473913254. The cubic root of 20154240 is about 272.1377618182.

Adding to 20154240 its reverse (4245102), we get a palindrome (24399342).

The spelling of 20154240 in words is "twenty million, one hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 3499 5760 6998 10497 13996 17495 20994 27992 31491 34990 41988 52485 55984 62982 69980 83976 104970 111968 125964 139960 157455 167952 209940 223936 251928 279920 314910 335904 419880 447872 503856 559840 629820 671808 839760 1007712 1119680 1259640 1343616 1679520 2015424 2239360 2519280 3359040 4030848 5038560 6718080 10077120 20154240