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81350190 = 2335503599
BaseRepresentation
bin1001101100101…
…00111000101110
312200002000111000
410312110320232
5131311201230
612023341130
72005315365
oct466247056
9180060430
1081350190
1141a13669
12232b17a6
1313b13b0c
14ab387dc
15721db60
hex4d94e2e

81350190 has 64 divisors (see below), whose sum is σ = 217728000. Its totient is φ = 21614112.

The previous prime is 81350123. The next prime is 81350197. The reversal of 81350190 is 9105318.

It is a super-2 number, since 2×813501902 = 13235706826072200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81350197) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135511 + ... + 136109.

It is an arithmetic number, because the mean of its divisors is an integer number (3402000).

Almost surely, 281350190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81350190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108864000).

81350190 is an abundant number, since it is smaller than the sum of its proper divisors (136377810).

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

81350190 is a wasteful number, since it uses less digits than its factorization.

81350190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1112 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 81350190 is about 9019.4340177197. The cubic root of 81350190 is about 433.2975072288.

The spelling of 81350190 in words is "eighty-one million, three hundred fifty thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 503 599 1006 1198 1509 1797 2515 2995 3018 3594 4527 5030 5391 5990 7545 8985 9054 10782 13581 15090 16173 17970 22635 26955 27162 32346 45270 53910 67905 80865 135810 161730 301297 602594 903891 1506485 1807782 2711673 3012970 4519455 5423346 8135019 9038910 13558365 16270038 27116730 40675095 81350190