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81354780 = 22345133863
BaseRepresentation
bin1001101100101…
…10000000011100
312200002020210000
410312112000130
5131311323110
612023414300
72005334643
oct466260034
9180066700
1081354780
1141a17061
12232b4390
1313b15c30
14ab3a35a
1572201c0
hex4d9601c

81354780 has 120 divisors (see below), whose sum is σ = 274915872. Its totient is φ = 20020608.

The previous prime is 81354761. The next prime is 81354781. The reversal of 81354780 is 8745318.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81354781) 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 39 ways as a sum of consecutive naturals, for example, 19129 + ... + 22991.

Almost surely, 281354780 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 81354780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137457936).

81354780 is an abundant number, since it is smaller than the sum of its proper divisors (193561092).

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

81354780 is a wasteful number, since it uses less digits than its factorization.

81354780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3897 (or 3886 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 81354780 is about 9019.6884646866. The cubic root of 81354780 is about 433.3056563520.

The spelling of 81354780 in words is "eighty-one million, three hundred fifty-four thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 81 90 108 117 130 135 156 162 180 195 234 260 270 324 351 390 405 468 540 585 702 780 810 1053 1170 1404 1620 1755 2106 2340 3510 3863 4212 5265 7020 7726 10530 11589 15452 19315 21060 23178 34767 38630 46356 50219 57945 69534 77260 100438 104301 115890 139068 150657 173835 200876 208602 231780 251095 301314 312903 347670 417204 451971 502190 521505 602628 625806 695340 753285 903942 1004380 1043010 1251612 1355913 1506570 1564515 1807884 2086020 2259855 2711826 3013140 3129030 4067739 4519710 5423652 6258060 6779565 8135478 9039420 13559130 16270956 20338695 27118260 40677390 81354780