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73265136 = 24372973103
BaseRepresentation
bin1000101110111…
…10111111110000
312002212020212120
410113132333300
5122223441021
611134154240
71546512660
oct427367760
9162766776
1073265136
11383a11aa
1220652980
1312242a69
149a321a0
1566732c6
hex45deff0

73265136 has 160 divisors (see below), whose sum is σ = 229032960. Its totient is φ = 19740672.

The previous prime is 73265131. The next prime is 73265141. The reversal of 73265136 is 63156237.

It is an interprime number because it is at equal distance from previous prime (73265131) and next prime (73265141).

It is a junction number, because it is equal to n+sod(n) for n = 73265097 and 73265106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73265131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 711261 + ... + 711363.

It is an arithmetic number, because the mean of its divisors is an integer number (1431456).

Almost surely, 273265136 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 73265136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114516480).

73265136 is an abundant number, since it is smaller than the sum of its proper divisors (155767824).

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

73265136 is a wasteful number, since it uses less digits than its factorization.

73265136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 217 counting only the distinct ones).

The product of its digits is 22680, while the sum is 33.

The square root of 73265136 is about 8559.5055931987. The cubic root of 73265136 is about 418.4392869650.

The spelling of 73265136 in words is "seventy-three million, two hundred sixty-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 73 84 87 103 112 116 146 168 174 203 206 219 232 292 309 336 348 406 412 438 464 511 584 609 618 696 721 812 824 876 1022 1168 1218 1236 1392 1442 1533 1624 1648 1752 2044 2117 2163 2436 2472 2884 2987 3066 3248 3504 4088 4234 4326 4872 4944 5768 5974 6132 6351 7519 8176 8468 8652 8961 9744 11536 11948 12264 12702 14819 15038 16936 17304 17922 20909 22557 23896 24528 25404 29638 30076 33872 34608 35844 41818 44457 45114 47792 50808 52633 59276 60152 62727 71688 83636 88914 90228 101616 105266 118552 120304 125454 143376 157899 167272 177828 180456 210532 218051 237104 250908 315798 334544 355656 360912 421064 436102 501816 631596 654153 711312 842128 872204 1003632 1263192 1308306 1526357 1744408 2526384 2616612 3052714 3488816 4579071 5233224 6105428 9158142 10466448 12210856 18316284 24421712 36632568 73265136