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161329300 = 225211267199
BaseRepresentation
bin10011001110110…
…11000010010100
3102020120101012021
421213123002110
5312300014200
624001502524
73666163546
oct1147330224
9366511167
10161329300
1183080100
1246041a44
1327567832
14175d7696
15e26b41a
hex99db094

161329300 has 108 divisors (see below), whose sum is σ = 392509600. Its totient is φ = 57499200.

The previous prime is 161329261. The next prime is 161329307. The reversal of 161329300 is 3923161.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161329307) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 810601 + ... + 810799.

Almost surely, 2161329300 is an apocalyptic number.

161329300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161329300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196254800).

161329300 is an abundant number, since it is smaller than the sum of its proper divisors (231180300).

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

161329300 is a wasteful number, since it uses less digits than its factorization.

161329300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 161329300 is about 12701.5471498554. The cubic root of 161329300 is about 544.3828268768.

The spelling of 161329300 in words is "one hundred sixty-one million, three hundred twenty-nine thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 67 100 110 121 134 199 220 242 268 275 335 398 484 550 605 670 737 796 995 1100 1210 1340 1474 1675 1990 2189 2420 2948 3025 3350 3685 3980 4378 4975 6050 6700 7370 8107 8756 9950 10945 12100 13333 14740 16214 18425 19900 21890 24079 26666 32428 36850 40535 43780 48158 53332 54725 66665 73700 81070 96316 109450 120395 133330 146663 162140 202675 218900 240790 266660 293326 333325 405350 481580 586652 601975 666650 733315 810700 1203950 1333300 1466630 1613293 2407900 2933260 3226586 3666575 6453172 7333150 8066465 14666300 16132930 32265860 40332325 80664650 161329300