Search a number
-
+
54435420 = 223251343541
BaseRepresentation
bin1100111110100…
…1111001011100
310210102121100200
43033221321130
5102413413140
65222423500
71230456564
oct317517134
9123377320
1054435420
1128800156
1216291b90
13b37c210
14732dda4
154ba4030
hex33e9e5c

54435420 has 144 divisors (see below), whose sum is σ = 182294112. Its totient is φ = 13063680.

The previous prime is 54435401. The next prime is 54435421. The reversal of 54435420 is 2453445.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54435421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100350 + ... + 100890.

Almost surely, 254435420 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 54435420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91147056).

54435420 is an abundant number, since it is smaller than the sum of its proper divisors (127858692).

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

54435420 is a wasteful number, since it uses less digits than its factorization.

54435420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 27.

The square root of 54435420 is about 7378.0363241177. The cubic root of 54435420 is about 378.9895129175.

Adding to 54435420 its reverse (2453445), we get a palindrome (56888865).

The spelling of 54435420 in words is "fifty-four million, four hundred thirty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 43 45 52 60 65 78 86 90 117 129 130 156 172 180 195 215 234 258 260 387 390 430 468 516 541 559 585 645 774 780 860 1082 1118 1170 1290 1548 1623 1677 1935 2164 2236 2340 2580 2705 2795 3246 3354 3870 4869 5031 5410 5590 6492 6708 7033 7740 8115 8385 9738 10062 10820 11180 14066 16230 16770 19476 20124 21099 23263 24345 25155 28132 32460 33540 35165 42198 46526 48690 50310 63297 69789 70330 84396 93052 97380 100620 105495 116315 126594 139578 140660 209367 210990 232630 253188 279156 302419 316485 348945 418734 421980 465260 604838 632970 697890 837468 907257 1046835 1209676 1265940 1395780 1512095 1814514 2093670 2721771 3024190 3629028 4187340 4536285 5443542 6048380 9072570 10887084 13608855 18145140 27217710 54435420