Search a number
-
+
73416990 = 2353189887
BaseRepresentation
bin1000110000001…
…00000100011110
312010010222011210
410120010010132
5122243320430
611141325250
71551014463
oct430040436
9163128153
1073416990
11384952a9
1220706826
1312296c0a
149a7166a
1566a32b0
hex460411e

73416990 has 64 divisors (see below), whose sum is σ = 184135680. Its totient is φ = 18712320.

The previous prime is 73416983. The next prime is 73416997. The reversal of 73416990 is 9961437.

It is an interprime number because it is at equal distance from previous prime (73416983) and next prime (73416997).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73416997) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82327 + ... + 83213.

It is an arithmetic number, because the mean of its divisors is an integer number (2877120).

Almost surely, 273416990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73416990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92067840).

73416990 is an abundant number, since it is smaller than the sum of its proper divisors (110718690).

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

73416990 is a wasteful number, since it uses less digits than its factorization.

73416990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017.

The product of its (nonzero) digits is 40824, while the sum is 39.

The square root of 73416990 is about 8568.3714905459. The cubic root of 73416990 is about 418.7281821260.

The spelling of 73416990 in words is "seventy-three million, four hundred sixteen thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 10 15 30 31 62 89 93 155 178 186 267 310 445 465 534 887 890 930 1335 1774 2661 2670 2759 4435 5322 5518 8277 8870 13305 13795 16554 26610 27497 27590 41385 54994 78943 82491 82770 137485 157886 164982 236829 274970 394715 412455 473658 789430 824910 1184145 2368290 2447233 4894466 7341699 12236165 14683398 24472330 36708495 73416990