[go: up one dir, main page]

Search a number
-
+
6261120 = 273251087
BaseRepresentation
bin10111111000100110000000
3102210002122100
4113320212000
53100323440
6342110400
7104134665
oct27704600
912702570
106261120
113597088
12211b400
1313b2b08
14b8da6c
1583a230
hex5f8980

6261120 has 96 divisors (see below), whose sum is σ = 21640320. Its totient is φ = 1668096.

The previous prime is 6261119. The next prime is 6261121. The reversal of 6261120 is 211626.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (6261119) and next prime (6261121).

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 junction number, because it is equal to n+sod(n) for n = 6261093 and 6261102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6261121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5217 + ... + 6303.

It is an arithmetic number, because the mean of its divisors is an integer number (225420).

Almost surely, 26261120 is an apocalyptic number.

6261120 is a gapful number since it is divisible by the number (60) 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 6261120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10820160).

6261120 is an abundant number, since it is smaller than the sum of its proper divisors (15379200).

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

6261120 is a wasteful number, since it uses less digits than its factorization.

6261120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 6261120 is about 2502.2230116438. The cubic root of 6261120 is about 184.3107540212.

Adding to 6261120 its reverse (211626), we get a palindrome (6472746).

The spelling of 6261120 in words is "six million, two hundred sixty-one thousand, one hundred twenty".

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 1087 1152 1440 1920 2174 2880 3261 4348 5435 5760 6522 8696 9783 10870 13044 16305 17392 19566 21740 26088 32610 34784 39132 43480 48915 52176 65220 69568 78264 86960 97830 104352 130440 139136 156528 173920 195660 208704 260880 313056 347840 391320 417408 521760 626112 695680 782640 1043520 1252224 1565280 2087040 3130560 6261120