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61134120 = 23325169817
BaseRepresentation
bin1110100100110…
…1010100101000
311021000221020200
43221031110220
5111122242440
610022152200
71341426405
oct351152450
9137027220
1061134120
1131565a73
1218582660
13c886248
1481952ac
155578c30
hex3a4d528

61134120 has 48 divisors (see below), whose sum is σ = 198687060. Its totient is φ = 16302336.

The previous prime is 61134119. The next prime is 61134121. The reversal of 61134120 is 2143116.

It is a happy number.

61134120 is a `hidden beast` number, since 611 + 34 + 1 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (61134119) and next prime (61134121).

It can be written as a sum of positive squares in 2 ways, for example, as 61121124 + 12996 = 7818^2 + 114^2 .

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 = 61134093 and 61134102.

It is not an unprimeable number, because it can be changed into a prime (61134121) 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, 84549 + ... + 85268.

Almost surely, 261134120 is an apocalyptic number.

61134120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61134120 is an abundant number, since it is smaller than the sum of its proper divisors (137552940).

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

61134120 is a wasteful number, since it uses less digits than its factorization.

61134120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169834 (or 169827 counting only the distinct ones).

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

The square root of 61134120 is about 7818.8311146872. The cubic root of 61134120 is about 393.9380114972.

Adding to 61134120 its reverse (2143116), we get a palindrome (63277236).

The spelling of 61134120 in words is "sixty-one million, one hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 169817 339634 509451 679268 849085 1018902 1358536 1528353 1698170 2037804 2547255 3056706 3396340 4075608 5094510 6113412 6792680 7641765 10189020 12226824 15283530 20378040 30567060 61134120