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73114152 = 23341671109
BaseRepresentation
bin1000101101110…
…10001000101000
312002120120202120
410112322020220
5122204123102
611131031240
71545313536
oct426721050
9162516676
1073114152
11382a8821
122059b520
13121bc117
1499d3156
1566436bc
hex45ba228

73114152 has 64 divisors (see below), whose sum is σ = 190209600. Its totient is φ = 23400960.

The previous prime is 73114141. The next prime is 73114169. The reversal of 73114152 is 25141137.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65374 + ... + 66482.

It is an arithmetic number, because the mean of its divisors is an integer number (2972025).

Almost surely, 273114152 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 73114152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95104800).

73114152 is an abundant number, since it is smaller than the sum of its proper divisors (117095448).

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

73114152 is a wasteful number, since it uses less digits than its factorization.

73114152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1226 (or 1222 counting only the distinct ones).

The product of its digits is 840, while the sum is 24.

The square root of 73114152 is about 8550.6813763583. The cubic root of 73114152 is about 418.1516509028.

Adding to 73114152 its reverse (25141137), we get a palindrome (98255289).

The spelling of 73114152 in words is "seventy-three million, one hundred fourteen thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 41 67 82 123 134 164 201 246 268 328 402 492 536 804 984 1109 1608 2218 2747 3327 4436 5494 6654 8241 8872 10988 13308 16482 21976 26616 32964 45469 65928 74303 90938 136407 148606 181876 222909 272814 297212 363752 445818 545628 594424 891636 1091256 1783272 3046423 6092846 9139269 12185692 18278538 24371384 36557076 73114152