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73240700 = 225213531063
BaseRepresentation
bin1000101110110…
…01000001111100
312002211000100112
410113121001330
5122222200300
611133445152
71546351511
oct427310174
9162730315
1073240700
1138384905
12206407b8
13122348c0
149a27308
15666ae35
hex45d907c

73240700 has 72 divisors (see below), whose sum is σ = 174551328. Its totient is φ = 26507520.

The previous prime is 73240691. The next prime is 73240721. The reversal of 73240700 is 704237.

It is a super-3 number, since 3×732407003 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 68369 + ... + 69431.

It is an arithmetic number, because the mean of its divisors is an integer number (2424324).

Almost surely, 273240700 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 73240700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87275664).

73240700 is an abundant number, since it is smaller than the sum of its proper divisors (101310628).

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

73240700 is a wasteful number, since it uses less digits than its factorization.

73240700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 23.

The square root of 73240700 is about 8558.0780552645. The cubic root of 73240700 is about 418.3927613370.

Adding to 73240700 its reverse (704237), we get a palindrome (73944937).

The spelling of 73240700 in words is "seventy-three million, two hundred forty thousand, seven hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 53 65 100 106 130 212 260 265 325 530 650 689 1060 1063 1300 1325 1378 2126 2650 2756 3445 4252 5300 5315 6890 10630 13780 13819 17225 21260 26575 27638 34450 53150 55276 56339 68900 69095 106300 112678 138190 225356 276380 281695 345475 563390 690950 732407 1126780 1381900 1408475 1464814 2816950 2929628 3662035 5633900 7324070 14648140 18310175 36620350 73240700