Search a number
-
+
61500150 = 23252197193
BaseRepresentation
bin1110101010011…
…0101011110110
311021201112100100
43222212223312
5111221001100
610034054530
71344512505
oct352465366
9137645310
1061500150
1131795a78
121871a446
13c983a2a
14824c83c
1555ec400
hex3aa6af6

61500150 has 72 divisors (see below), whose sum is σ = 173950920. Its totient is φ = 15534720.

The previous prime is 61500149. The next prime is 61500151. The reversal of 61500150 is 5100516.

61500150 is a `hidden beast` number, since 615 + 0 + 0 + 1 + 50 = 666.

It is an interprime number because it is at equal distance from previous prime (61500149) and next prime (61500151).

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61500151) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4954 + ... + 12146.

It is an arithmetic number, because the mean of its divisors is an integer number (2415985).

Almost surely, 261500150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61500150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86975460).

61500150 is an abundant number, since it is smaller than the sum of its proper divisors (112450770).

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

61500150 is a wasteful number, since it uses less digits than its factorization.

61500150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7230 (or 7222 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 61500150 is about 7842.2031343239. The cubic root of 61500150 is about 394.7226595606.

Adding to 61500150 its reverse (5100516), we get a palindrome (66600666).

The spelling of 61500150 in words is "sixty-one million, five hundred thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 30 38 45 50 57 75 90 95 114 150 171 190 225 285 342 450 475 570 855 950 1425 1710 2850 4275 7193 8550 14386 21579 35965 43158 64737 71930 107895 129474 136667 179825 215790 273334 323685 359650 410001 539475 647370 683335 820002 1078950 1230003 1366670 1618425 2050005 2460006 3236850 3416675 4100010 6150015 6833350 10250025 12300030 20500050 30750075 61500150