Search a number
-
+
61100312 = 23713174937
BaseRepresentation
bin1110100100010…
…1000100011000
311020222012212112
43221011010120
5111120202222
610021331452
71341226010
oct351050430
9136865775
1061100312
1131542629
1218566b88
13c873a40
148186c40
15556dbe2
hex3a45118

61100312 has 64 divisors (see below), whose sum is σ = 149325120. Its totient is φ = 22745088.

The previous prime is 61100311. The next prime is 61100323. The reversal of 61100312 is 21300116.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61100311) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9908 + ... + 14844.

It is an arithmetic number, because the mean of its divisors is an integer number (2333205).

Almost surely, 261100312 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 61100312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74662560).

61100312 is an abundant number, since it is smaller than the sum of its proper divisors (88224808).

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

61100312 is a wasteful number, since it uses less digits than its factorization.

61100312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4980 (or 4976 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 61100312 is about 7816.6688557211. The cubic root of 61100312 is about 393.8653804137.

Adding to 61100312 its reverse (21300116), we get a palindrome (82400428).

The spelling of 61100312 in words is "sixty-one million, one hundred thousand, three hundred twelve".

Divisors: 1 2 4 7 8 13 14 17 26 28 34 52 56 68 91 104 119 136 182 221 238 364 442 476 728 884 952 1547 1768 3094 4937 6188 9874 12376 19748 34559 39496 64181 69118 83929 128362 138236 167858 256724 276472 335716 449267 513448 587503 671432 898534 1091077 1175006 1797068 2182154 2350012 3594136 4364308 4700024 7637539 8728616 15275078 30550156 61100312