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161032890 = 23523273139
BaseRepresentation
bin10011001100100…
…10101010111010
3102020000022121010
421212102222322
5312211023030
623551254350
73663520434
oct1146225272
9366008533
10161032890
1182998437
1245b1a3b6
1327492945
141755b654
15e20d6b0
hex9992aba

161032890 has 96 divisors (see below), whose sum is σ = 412493760. Its totient is φ = 40220928.

The previous prime is 161032873. The next prime is 161032897. The reversal of 161032890 is 98230161.

161032890 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (161032897) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1158441 + ... + 1158579.

It is an arithmetic number, because the mean of its divisors is an integer number (4296810).

Almost surely, 2161032890 is an apocalyptic number.

161032890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 161032890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206246880).

161032890 is an abundant number, since it is smaller than the sum of its proper divisors (251460870).

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

161032890 is a wasteful number, since it uses less digits than its factorization.

161032890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 161032890 is about 12689.8735218283. The cubic root of 161032890 is about 544.0492246583.

The spelling of 161032890 in words is "one hundred sixty-one million, thirty-two thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 73 115 138 139 146 219 230 278 345 365 417 438 529 690 695 730 834 1058 1095 1390 1587 1679 2085 2190 2645 3174 3197 3358 4170 5037 5290 6394 7935 8395 9591 10074 10147 15870 15985 16790 19182 20294 25185 30441 31970 38617 47955 50370 50735 60882 73531 77234 95910 101470 115851 147062 152205 193085 220593 231702 233381 304410 367655 386170 441186 466762 579255 700143 735310 1102965 1158510 1166905 1400286 2205930 2333810 3500715 5367763 7001430 10735526 16103289 26838815 32206578 53677630 80516445 161032890