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161591430 = 235711135381
BaseRepresentation
bin10011010000110…
…11000010000110
3102021001200202210
421220123002012
5312331411210
624011244250
74001335020
oct1150330206
9367050683
10161591430
118323a040
1246149686
1327629c40
1417665010
15e2bde20
hex9a1b086

161591430 has 128 divisors (see below), whose sum is σ = 520805376. Its totient is φ = 30988800.

The previous prime is 161591407. The next prime is 161591431. The reversal of 161591430 is 34195161.

It is a super-2 number, since 2×1615914302 = 52223580498889800, which contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161591431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27340 + ... + 32720.

It is an arithmetic number, because the mean of its divisors is an integer number (4068792).

Almost surely, 2161591430 is an apocalyptic number.

161591430 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 161591430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260402688).

161591430 is an abundant number, since it is smaller than the sum of its proper divisors (359213946).

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

161591430 is a wasteful number, since it uses less digits than its factorization.

161591430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5422.

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 161591430 is about 12711.8617833896. The cubic root of 161591430 is about 544.6775074951.

The spelling of 161591430 in words is "one hundred sixty-one million, five hundred ninety-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 13 14 15 21 22 26 30 33 35 39 42 55 65 66 70 77 78 91 105 110 130 143 154 165 182 195 210 231 273 286 330 385 390 429 455 462 546 715 770 858 910 1001 1155 1365 1430 2002 2145 2310 2730 3003 4290 5005 5381 6006 10010 10762 15015 16143 26905 30030 32286 37667 53810 59191 69953 75334 80715 113001 118382 139906 161430 177573 188335 209859 226002 295955 349765 355146 376670 414337 419718 489671 565005 591910 699530 769483 828674 887865 979342 1049295 1130010 1243011 1469013 1538966 1775730 2071685 2098590 2308449 2448355 2486022 2938026 3847415 4143370 4616898 4896710 5386381 6215055 7345065 7694830 10772762 11542245 12430110 14690130 16159143 23084490 26931905 32318286 53863810 80795715 161591430