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161209116 = 2235237211
BaseRepresentation
bin10011001101111…
…01101100011100
3102020100021100000
421212331230130
5312232142431
623555134300
73665153265
oct1146755434
9366307300
10161209116
1182aa8882
1245ba4390
1327524c13
14175a596c
15e2459e6
hex99bdb1c

161209116 has 72 divisors (see below), whose sum is σ = 441028224. Its totient is φ = 51392880.

The previous prime is 161209073. The next prime is 161209117. The reversal of 161209116 is 611902161.

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

It is a self number, because there is not a number n which added to its sum of digits gives 161209116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161209117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18751 + ... + 25961.

It is an arithmetic number, because the mean of its divisors is an integer number (6125392).

Almost surely, 2161209116 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 161209116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220514112).

161209116 is an abundant number, since it is smaller than the sum of its proper divisors (279819108).

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

161209116 is a wasteful number, since it uses less digits than its factorization.

161209116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7253 (or 7239 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 161209116 is about 12696.8151912202. The cubic root of 161209116 is about 544.2476120108.

The spelling of 161209116 in words is "one hundred sixty-one million, two hundred nine thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 243 276 324 414 486 621 828 972 1242 1863 2484 3726 5589 7211 7452 11178 14422 21633 22356 28844 43266 64899 86532 129798 165853 194697 259596 331706 389394 497559 584091 663412 778788 995118 1168182 1492677 1752273 1990236 2336364 2985354 3504546 4478031 5970708 7009092 8956062 13434093 17912124 26868186 40302279 53736372 80604558 161209116