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81356340 = 223513372819
BaseRepresentation
bin1001101100101…
…10011000110100
312200002022220210
410312112120310
5131311400330
612023425420
72005342332
oct466263064
9180068823
1081356340
1141a1824a
12232b5270
1313b16860
14ab3ab52
1572208b0
hex4d96634

81356340 has 96 divisors (see below), whose sum is σ = 252040320. Its totient is φ = 19478016.

The previous prime is 81356323. The next prime is 81356357. The reversal of 81356340 is 4365318.

It is an interprime number because it is at equal distance from previous prime (81356323) and next prime (81356357).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 81356298 and 81356307.

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 31 ways as a sum of consecutive naturals, for example, 27451 + ... + 30269.

It is an arithmetic number, because the mean of its divisors is an integer number (2625420).

Almost surely, 281356340 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 81356340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126020160).

81356340 is an abundant number, since it is smaller than the sum of its proper divisors (170683980).

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

81356340 is a wasteful number, since it uses less digits than its factorization.

81356340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2881 (or 2879 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 81356340 is about 9019.7749417599. The cubic root of 81356340 is about 433.3084259188.

The spelling of 81356340 in words is "eighty-one million, three hundred fifty-six thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 37 39 52 60 65 74 78 111 130 148 156 185 195 222 260 370 390 444 481 555 740 780 962 1110 1443 1924 2220 2405 2819 2886 4810 5638 5772 7215 8457 9620 11276 14095 14430 16914 28190 28860 33828 36647 42285 56380 73294 84570 104303 109941 146588 169140 183235 208606 219882 312909 366470 417212 439764 521515 549705 625818 732940 1043030 1099410 1251636 1355939 1564545 2086060 2198820 2711878 3129090 4067817 5423756 6258180 6779695 8135634 13559390 16271268 20339085 27118780 40678170 81356340