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161490720 = 2535401839
BaseRepresentation
bin10011010000000…
…10011100100000
3102020212120121210
421220002130200
5312320200340
624005150120
74000435266
oct1150023440
9366776553
10161490720
1183180406
12460bb340
13275c3151
141763a436
15e29e180
hex9a02720

161490720 has 96 divisors (see below), whose sum is σ = 510572160. Its totient is φ = 42905600.

The previous prime is 161490649. The next prime is 161490727. The reversal of 161490720 is 27094161.

It is a happy number.

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

It is a super-2 number, since 2×1614907202 = 52158505292236800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (161490727) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192061 + ... + 192899.

It is an arithmetic number, because the mean of its divisors is an integer number (5318460).

Almost surely, 2161490720 is an apocalyptic number.

161490720 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 161490720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255286080).

161490720 is an abundant number, since it is smaller than the sum of its proper divisors (349081440).

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

161490720 is a wasteful number, since it uses less digits than its factorization.

161490720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1250 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 161490720 is about 12707.8999051771. The cubic root of 161490720 is about 544.5643293158.

The spelling of 161490720 in words is "one hundred sixty-one million, four hundred ninety thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 401 480 802 839 1203 1604 1678 2005 2406 2517 3208 3356 4010 4195 4812 5034 6015 6416 6712 8020 8390 9624 10068 12030 12585 12832 13424 16040 16780 19248 20136 24060 25170 26848 32080 33560 38496 40272 48120 50340 64160 67120 80544 96240 100680 134240 192480 201360 336439 402720 672878 1009317 1345756 1682195 2018634 2691512 3364390 4037268 5046585 5383024 6728780 8074536 10093170 10766048 13457560 16149072 20186340 26915120 32298144 40372680 53830240 80745360 161490720