Search a number
-
+
161555264 = 2613277701
BaseRepresentation
bin10011010000100…
…10001101000000
3102020222212011022
421220102031000
5312324232024
624010405012
74001124413
oct1150221500
9366885138
10161555264
1183214952
1246130768
1327616640
1417655b7a
15e2b335e
hex9a12340

161555264 has 56 divisors (see below), whose sum is σ = 346987368. Its totient is φ = 74188800.

The previous prime is 161555239. The next prime is 161555279. The reversal of 161555264 is 462555161.

It can be written as a sum of positive squares in 4 ways, for example, as 7795264 + 153760000 = 2792^2 + 12400^2 .

It is a super-2 number, since 2×1615552642 = 52200206652219392, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 230114 + ... + 230814.

It is an arithmetic number, because the mean of its divisors is an integer number (6196203).

Almost surely, 2161555264 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 161555264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173493684).

161555264 is an abundant number, since it is smaller than the sum of its proper divisors (185432104).

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

161555264 is a wasteful number, since it uses less digits than its factorization.

161555264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1003 (or 993 counting only the distinct ones).

The product of its digits is 36000, while the sum is 35.

The square root of 161555264 is about 12710.4391741592. The cubic root of 161555264 is about 544.6368694561.

The spelling of 161555264 in words is "one hundred sixty-one million, five hundred fifty-five thousand, two hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 277 416 554 701 832 1108 1402 2216 2804 3601 4432 5608 7202 8864 9113 11216 14404 17728 18226 22432 28808 36452 44864 57616 72904 115232 145808 194177 230464 291616 388354 583232 776708 1553416 2524301 3106832 5048602 6213664 10097204 12427328 20194408 40388816 80777632 161555264