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161004100 = 225219101839
BaseRepresentation
bin10011001100010…
…11101001000100
3102012221212002211
421212023221010
5312204112400
623550513204
73663340465
oct1146135104
9365855084
10161004100
1182978844
1245b05804
13274827ca
1417550d6c
15e204dba
hex998ba44

161004100 has 72 divisors (see below), whose sum is σ = 371851200. Its totient is φ = 60336000.

The previous prime is 161004091. The next prime is 161004101. The reversal of 161004100 is 1400161.

It is not an unprimeable number, because it can be changed into a prime (161004101) 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, 191481 + ... + 192319.

It is an arithmetic number, because the mean of its divisors is an integer number (5164600).

Almost surely, 2161004100 is an apocalyptic number.

161004100 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 161004100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185925600).

161004100 is an abundant number, since it is smaller than the sum of its proper divisors (210847100).

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

161004100 is a wasteful number, since it uses less digits than its factorization.

161004100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 161004100 is about 12688.7391020542. The cubic root of 161004100 is about 544.0168004111.

Adding to 161004100 its reverse (1400161), we get a palindrome (162404261).

The spelling of 161004100 in words is "one hundred sixty-one million, four thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 101 190 202 380 404 475 505 839 950 1010 1678 1900 1919 2020 2525 3356 3838 4195 5050 7676 8390 9595 10100 15941 16780 19190 20975 31882 38380 41950 47975 63764 79705 83900 84739 95950 159410 169478 191900 318820 338956 398525 423695 797050 847390 1594100 1610041 1694780 2118475 3220082 4236950 6440164 8050205 8473900 16100410 32200820 40251025 80502050 161004100