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161135640 = 233253791181
BaseRepresentation
bin10011001101010…
…11110000011000
3102020012112112200
421212223300120
5312222320030
623553410200
73664426131
oct1146536030
9366175480
10161135640
1182a58656
1245b69960
13274ca643
1417586c88
15e22dd60
hex99abc18

161135640 has 96 divisors (see below), whose sum is σ = 525517200. Its totient is φ = 42819840.

The previous prime is 161135591. The next prime is 161135641. The reversal of 161135640 is 46531161.

161135640 is a `hidden beast` number, since 1 + 6 + 1 + 13 + 5 + 640 = 666.

161135640 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161135641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135850 + ... + 137030.

Almost surely, 2161135640 is an apocalyptic number.

161135640 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 161135640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262758600).

161135640 is an abundant number, since it is smaller than the sum of its proper divisors (364381560).

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

161135640 is a wasteful number, since it uses less digits than its factorization.

161135640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1577 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 161135640 is about 12693.9213799361. The cubic root of 161135640 is about 544.1649135971.

The spelling of 161135640 in words is "one hundred sixty-one million, one hundred thirty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 379 758 1137 1181 1516 1895 2274 2362 3032 3411 3543 3790 4548 4724 5685 5905 6822 7086 7580 9096 9448 10629 11370 11810 13644 14172 15160 17055 17715 21258 22740 23620 27288 28344 34110 35430 42516 45480 47240 53145 68220 70860 85032 106290 136440 141720 212580 425160 447599 895198 1342797 1790396 2237995 2685594 3580792 4028391 4475990 5371188 6713985 8056782 8951980 10742376 13427970 16113564 17903960 20141955 26855940 32227128 40283910 53711880 80567820 161135640