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73706274 = 23841137
BaseRepresentation
bin1000110010010…
…10101100100010
312010200200000000
410121022230202
5122332100044
611151440430
71553331045
oct431125442
9163620000
1073706274
1138672684
1220826116
13123687a5
149b08c5c
15670dd69
hex464ab22

73706274 has 72 divisors (see below), whose sum is σ = 171115308. Its totient is φ = 23794560.

The previous prime is 73706273. The next prime is 73706291. The reversal of 73706274 is 47260737.

It can be written as a sum of positive squares in 2 ways, for example, as 69605649 + 4100625 = 8343^2 + 2025^2 .

It is a super-2 number, since 2×737062742 = 10865229653926152, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73706273) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 537934 + ... + 538070.

Almost surely, 273706274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73706274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85557654).

73706274 is an abundant number, since it is smaller than the sum of its proper divisors (97409034).

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

73706274 is an equidigital number, since it uses as much as digits as its factorization.

73706274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The square root of 73706274 is about 8585.2358150490. The cubic root of 73706274 is about 419.2774310731.

The spelling of 73706274 in words is "seventy-three million, seven hundred six thousand, two hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 137 162 243 246 274 369 411 486 729 738 822 1107 1233 1458 2187 2214 2466 3321 3699 4374 5617 6561 6642 7398 9963 11097 11234 13122 16851 19926 22194 29889 33291 33702 50553 59778 66582 89667 99873 101106 151659 179334 199746 269001 299619 303318 454977 538002 599238 898857 909954 1364931 1797714 2729862 4094793 8189586 12284379 24568758 36853137 73706274