Search a number
-
+
54204120 = 23335311619
BaseRepresentation
bin1100111011000…
…1011011011000
310202222212002000
43032301123120
5102334012440
65213441000
71225504335
oct316613330
9122885060
1054204120
11286623a3
12161a0160
13b2cab59
1472ad98c
154b5a730
hex33b16d8

54204120 has 128 divisors (see below), whose sum is σ = 186624000. Its totient is φ = 13979520.

The previous prime is 54204053. The next prime is 54204193. The reversal of 54204120 is 2140245.

54204120 is a `hidden beast` number, since 542 + 0 + 4 + 120 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 54204093 and 54204102.

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, 32671 + ... + 34289.

It is an arithmetic number, because the mean of its divisors is an integer number (1458000).

Almost surely, 254204120 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 54204120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93312000).

54204120 is an abundant number, since it is smaller than the sum of its proper divisors (132419880).

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

54204120 is a wasteful number, since it uses less digits than its factorization.

54204120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1670 (or 1660 counting only the distinct ones).

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

The square root of 54204120 is about 7362.3447352049. The cubic root of 54204120 is about 378.4519663071.

Adding to 54204120 its reverse (2140245), we get a palindrome (56344365).

The spelling of 54204120 in words is "fifty-four million, two hundred four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 31 36 40 45 54 60 62 72 90 93 108 120 124 135 155 180 186 216 248 270 279 310 360 372 465 540 558 620 744 837 930 1080 1116 1240 1395 1619 1674 1860 2232 2790 3238 3348 3720 4185 4857 5580 6476 6696 8095 8370 9714 11160 12952 14571 16190 16740 19428 24285 29142 32380 33480 38856 43713 48570 50189 58284 64760 72855 87426 97140 100378 116568 145710 150567 174852 194280 200756 218565 250945 291420 301134 349704 401512 437130 451701 501890 582840 602268 752835 874260 903402 1003780 1204536 1355103 1505670 1748520 1806804 2007560 2258505 2710206 3011340 3613608 4517010 5420412 6022680 6775515 9034020 10840824 13551030 18068040 27102060 54204120