Search a number
-
+
161761152 = 273728597
BaseRepresentation
bin10011010010001…
…00011110000000
3102021101022120210
421221010132000
5312402324102
624015034120
74002642600
oct1151043600
9367338523
10161761152
1183345603
124620b940
1327689277
14176aac00
15e30436c
hex9a44780

161761152 has 96 divisors (see below), whose sum is σ = 499887720. Its totient is φ = 46212096.

The previous prime is 161761129. The next prime is 161761181. The reversal of 161761152 is 251167161.

161761152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14518 + ... + 23114.

Almost surely, 2161761152 is an apocalyptic number.

161761152 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 161761152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249943860).

161761152 is an abundant number, since it is smaller than the sum of its proper divisors (338126568).

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

161761152 is an equidigital number, since it uses as much as digits as its factorization.

161761152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8628 (or 8609 counting only the distinct ones).

The product of its digits is 2520, while the sum is 30.

The square root of 161761152 is about 12718.5357647805. The cubic root of 161761152 is about 544.8681351989.

The spelling of 161761152 in words is "one hundred sixty-one million, seven hundred sixty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 384 392 448 588 672 784 896 1176 1344 1568 2352 2688 3136 4704 6272 8597 9408 17194 18816 25791 34388 51582 60179 68776 103164 120358 137552 180537 206328 240716 275104 361074 412656 421253 481432 550208 722148 825312 842506 962864 1100416 1263759 1444296 1650624 1685012 1925728 2527518 2888592 3301248 3370024 3851456 5055036 5777184 6740048 7702912 10110072 11554368 13480096 20220144 23108736 26960192 40440288 53920384 80880576 161761152