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161193720 = 2335192612
BaseRepresentation
bin10011001101110…
…01111011111000
3102020022111012210
421212321323320
5312231144340
623554535120
73665060352
oct1146717370
9366274183
10161193720
1182a98256
1245b974a0
132751abcc
14175a00d2
15e241180
hex99b9ef8

161193720 has 144 divisors (see below), whose sum is σ = 518876280. Its totient is φ = 40055040.

The previous prime is 161193679. The next prime is 161193737. The reversal of 161193720 is 27391161.

161193720 is digitally balanced in base 3, 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 a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2642490 + ... + 2642550.

Almost surely, 2161193720 is an apocalyptic number.

161193720 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 161193720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259438140).

161193720 is an abundant number, since it is smaller than the sum of its proper divisors (357682560).

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

161193720 is a wasteful number, since it uses less digits than its factorization.

161193720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 161193720 is about 12696.2088829698. The cubic root of 161193720 is about 544.2302856478.

Multiplying 161193720 by its sum of digits (30), we get a square (4835811600 = 695402).

161193720 divided by its sum of digits (30) gives a square (5373124 = 23182).

The spelling of 161193720 in words is "one hundred sixty-one million, one hundred ninety-three thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 61 76 95 114 120 122 152 183 190 228 244 285 305 361 366 380 456 488 570 610 722 732 760 915 1083 1140 1159 1220 1444 1464 1805 1830 2166 2280 2318 2440 2888 3477 3610 3660 3721 4332 4636 5415 5795 6954 7220 7320 7442 8664 9272 10830 11163 11590 13908 14440 14884 17385 18605 21660 22021 22326 23180 27816 29768 34770 37210 43320 44042 44652 46360 55815 66063 69540 70699 74420 88084 89304 110105 111630 132126 139080 141398 148840 176168 212097 220210 223260 264252 282796 330315 353495 424194 440420 446520 528504 565592 660630 706990 848388 880840 1060485 1321260 1343281 1413980 1696776 2120970 2642520 2686562 2827960 4029843 4241940 5373124 6716405 8059686 8483880 10746248 13432810 16119372 20149215 26865620 32238744 40298430 53731240 80596860 161193720