Search a number
-
+
161650040 = 23537239457
BaseRepresentation
bin10011010001010…
…01010101111000
3102021011200011112
421220221111320
5312340300130
624012415452
74002000626
oct1150512570
9367150145
10161650040
118327a082
1246177588
132764a816
141767c516
15e2d1495
hex9a29578

161650040 has 64 divisors (see below), whose sum is σ = 375926400. Its totient is φ = 62512128.

The previous prime is 161650039. The next prime is 161650051. The reversal of 161650040 is 40056161.

It is a super-2 number, since 2×1616500402 = 52261470864003200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 161649988 and 161650015.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 353492 + ... + 353948.

It is an arithmetic number, because the mean of its divisors is an integer number (5873850).

Almost surely, 2161650040 is an apocalyptic number.

161650040 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 161650040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187963200).

161650040 is an abundant number, since it is smaller than the sum of its proper divisors (214276360).

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

161650040 is a wasteful number, since it uses less digits than its factorization.

161650040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 161650040 is about 12714.1669015315. The cubic root of 161650040 is about 544.7433519315.

The spelling of 161650040 in words is "one hundred sixty-one million, six hundred fifty thousand, forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 239 296 370 457 478 740 914 956 1195 1480 1828 1912 2285 2390 3656 4570 4780 8843 9140 9560 16909 17686 18280 33818 35372 44215 67636 70744 84545 88430 109223 135272 169090 176860 218446 338180 353720 436892 546115 676360 873784 1092230 2184460 4041251 4368920 8082502 16165004 20206255 32330008 40412510 80825020 161650040