[go: up one dir, main page]

Search a number
-
+
54267720 = 23351343809
BaseRepresentation
bin1100111100000…
…0111101001000
310210010002022120
43033000331020
5102343031340
65215051240
71226160633
oct317007510
9123102276
1054267720
11286a6161
1216210b20
13b320aa0
1472c8c1a
154b6e4d0
hex33c0f48

54267720 has 128 divisors (see below), whose sum is σ = 179625600. Its totient is φ = 13031424.

The previous prime is 54267709. The next prime is 54267727. The reversal of 54267720 is 2776245.

It is not an unprimeable number, because it can be changed into a prime (54267727) 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, 66676 + ... + 67484.

It is an arithmetic number, because the mean of its divisors is an integer number (1403325).

Almost surely, 254267720 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 54267720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89812800).

54267720 is an abundant number, since it is smaller than the sum of its proper divisors (125357880).

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

54267720 is a wasteful number, since it uses less digits than its factorization.

54267720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 879 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 33.

The square root of 54267720 is about 7366.6627450970. The cubic root of 54267720 is about 378.5999263838.

The spelling of 54267720 in words is "fifty-four million, two hundred sixty-seven thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 43 52 60 65 78 86 104 120 129 130 156 172 195 215 258 260 312 344 390 430 516 520 559 645 780 809 860 1032 1118 1290 1560 1618 1677 1720 2236 2427 2580 2795 3236 3354 4045 4472 4854 5160 5590 6472 6708 8090 8385 9708 10517 11180 12135 13416 16180 16770 19416 21034 22360 24270 31551 32360 33540 34787 42068 48540 52585 63102 67080 69574 84136 97080 104361 105170 126204 139148 157755 173935 208722 210340 252408 278296 315510 347870 417444 420680 452231 521805 631020 695740 834888 904462 1043610 1262040 1356693 1391480 1808924 2087220 2261155 2713386 3617848 4174440 4522310 5426772 6783465 9044620 10853544 13566930 18089240 27133860 54267720