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161034132 = 223717234903
BaseRepresentation
bin10011001100100…
…10111110010100
3102020000101022010
421212102332110
5312211043012
623551304220
73663524160
oct1146227624
9366011263
10161034132
1182999366
1245b1b070
132749338c
141755bca0
15e20dc3c
hex9992f94

161034132 has 96 divisors (see below), whose sum is σ = 474550272. Its totient is φ = 41412096.

The previous prime is 161034127. The next prime is 161034143. The reversal of 161034132 is 231430161.

161034132 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 (21).

It is a junction number, because it is equal to n+sod(n) for n = 161034099 and 161034108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30393 + ... + 35295.

It is an arithmetic number, because the mean of its divisors is an integer number (4943232).

Almost surely, 2161034132 is an apocalyptic number.

161034132 is a gapful number since it is divisible by the number (12) 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 161034132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237275136).

161034132 is an abundant number, since it is smaller than the sum of its proper divisors (313516140).

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

161034132 is a wasteful number, since it uses less digits than its factorization.

161034132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4957 (or 4955 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 161034132 is about 12689.9224583919. The cubic root of 161034132 is about 544.0506233527.

Adding to 161034132 its reverse (231430161), we get a palindrome (392464293).

The spelling of 161034132 in words is "one hundred sixty-one million, thirty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 23 28 34 42 46 51 68 69 84 92 102 119 138 161 204 238 276 322 357 391 476 483 644 714 782 966 1173 1428 1564 1932 2346 2737 4692 4903 5474 8211 9806 10948 14709 16422 19612 29418 32844 34321 58836 68642 83351 102963 112769 137284 166702 205926 225538 250053 333404 338307 411852 451076 500106 583457 676614 789383 1000212 1166914 1353228 1578766 1750371 1917073 2333828 2368149 3157532 3500742 3834146 4736298 5751219 7001484 7668292 9472596 11502438 13419511 23004876 26839022 40258533 53678044 80517066 161034132