Search a number
-
+
61327896 = 23371919213
BaseRepresentation
bin1110100111110…
…0101000011000
311021101210001120
43221330220120
5111144443041
610030245240
71343164350
oct351745030
9137353046
1061327896
1131688613
1218656820
13c9234c6
148205b60
1555b6366
hex3a7ca18

61327896 has 64 divisors (see below), whose sum is σ = 184454400. Its totient is φ = 16599168.

The previous prime is 61327859. The next prime is 61327897. The reversal of 61327896 is 69872316.

It is a happy number.

61327896 is nontrivially palindromic in base 11.

61327896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×613278962 = 7522221655573632, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61327897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6415 + ... + 12798.

It is an arithmetic number, because the mean of its divisors is an integer number (2882100).

Almost surely, 261327896 is an apocalyptic number.

It is an amenable number.

61327896 is an abundant number, since it is smaller than the sum of its proper divisors (123126504).

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

61327896 is a wasteful number, since it uses less digits than its factorization.

61327896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19248 (or 19244 counting only the distinct ones).

The product of its digits is 108864, while the sum is 42.

The square root of 61327896 is about 7831.2129328732. The cubic root of 61327896 is about 394.3537925176.

It can be divided in two parts, 6132 and 7896, that added together give a triangular number (14028 = T167).

The spelling of 61327896 in words is "sixty-one million, three hundred twenty-seven thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 798 1064 1596 3192 19213 38426 57639 76852 115278 134491 153704 230556 268982 365047 403473 461112 537964 730094 806946 1075928 1095141 1460188 1613892 2190282 2555329 2920376 3227784 4380564 5110658 7665987 8761128 10221316 15331974 20442632 30663948 61327896