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73213440 = 29359533
BaseRepresentation
bin1000101110100…
…10011000000000
312002202121221220
410113102120000
5122220312230
611133115040
71546206156
oct427223000
9162677856
1073213440
1138366383
1220628a80
1312225381
149a1b3d6
156662d10
hex45d2600

73213440 has 80 divisors (see below), whose sum is σ = 234078768. Its totient is φ = 19521536.

The previous prime is 73213433. The next prime is 73213453. The reversal of 73213440 is 4431237.

73213440 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a self number, because there is not a number n which added to its sum of digits gives 73213440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2914 + ... + 12446.

Almost surely, 273213440 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 73213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117039384).

73213440 is an abundant number, since it is smaller than the sum of its proper divisors (160865328).

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

73213440 is an equidigital number, since it uses as much as digits as its factorization.

73213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9559 (or 9543 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 73213440 is about 8556.4852597314. The cubic root of 73213440 is about 418.3408466594.

Adding to 73213440 its reverse (4431237), we get a palindrome (77644677).

The spelling of 73213440 in words is "seventy-three million, two hundred thirteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 9533 19066 28599 38132 47665 57198 76264 95330 114396 142995 152528 190660 228792 285990 305056 381320 457584 571980 610112 762640 915168 1143960 1220224 1525280 1830336 2287920 2440448 3050560 3660672 4575840 4880896 6101120 7321344 9151680 12202240 14642688 18303360 24404480 36606720 73213440