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161285436 = 2232133111117
BaseRepresentation
bin10011001110100…
…00010100111100
3102020111011000200
421213100110330
5312242113221
624000523500
73665621634
oct1147202474
9366434020
10161285436
1183050154
1246020590
1327550890
14175c56c4
15e25d426
hex99d053c

161285436 has 72 divisors (see below), whose sum is σ = 453258624. Its totient is φ = 48021120.

The previous prime is 161285429. The next prime is 161285437. The reversal of 161285436 is 634582161.

It is a happy number.

161285436 is a `hidden beast` number, since 1 + 612 + 8 + 5 + 4 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 161285436.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161285437) 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, 8950 + ... + 20066.

Almost surely, 2161285436 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 161285436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226629312).

161285436 is an abundant number, since it is smaller than the sum of its proper divisors (291973188).

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

161285436 is a wasteful number, since it uses less digits than its factorization.

161285436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11171 (or 11166 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 161285436 is about 12699.8203136895. The cubic root of 161285436 is about 544.3334847904. Note that the first 3 decimals are identical.

The spelling of 161285436 in words is "one hundred sixty-one million, two hundred eighty-five thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 117 124 156 186 234 279 372 403 468 558 806 1116 1209 1612 2418 3627 4836 7254 11117 14508 22234 33351 44468 66702 100053 133404 144521 200106 289042 344627 400212 433563 578084 689254 867126 1033881 1300689 1378508 1734252 2067762 2601378 3101643 4135524 4480151 5202756 6203286 8960302 12406572 13440453 17920604 26880906 40321359 53761812 80642718 161285436