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161654272 = 2913149163
BaseRepresentation
bin10011010001010…
…10011000000000
3102021011212222021
421220222120000
5312340414042
624012451224
74002016153
oct1150523000
9367155867
10161654272
118328227a
1246179b14
132764c720
141767dc9a
15e2d2867
hex9a2a600

161654272 has 80 divisors (see below), whose sum is σ = 352321200. Its totient is φ = 73654272.

The previous prime is 161654263. The next prime is 161654279. The reversal of 161654272 is 272456161.

It is a super-2 number, since 2×1616542722 = 52264207311699968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161654279) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 991663 + ... + 991825.

It is an arithmetic number, because the mean of its divisors is an integer number (4404015).

Almost surely, 2161654272 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 161654272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176160600).

161654272 is an abundant number, since it is smaller than the sum of its proper divisors (190666928).

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

161654272 is a wasteful number, since it uses less digits than its factorization.

161654272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 327 counting only the distinct ones).

The product of its digits is 20160, while the sum is 34.

The square root of 161654272 is about 12714.3333289638. Note that the first 4 decimals coincide. The cubic root of 161654272 is about 544.7481056858.

The spelling of 161654272 in words is "one hundred sixty-one million, six hundred fifty-four thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 149 163 208 256 298 326 416 512 596 652 832 1192 1304 1664 1937 2119 2384 2608 3328 3874 4238 4768 5216 6656 7748 8476 9536 10432 15496 16952 19072 20864 24287 30992 33904 38144 41728 48574 61984 67808 76288 83456 97148 123968 135616 194296 247936 271232 315731 388592 495872 542464 631462 777184 991744 1084928 1262924 1554368 2525848 3108736 5051696 6217472 10103392 12434944 20206784 40413568 80827136 161654272