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161504040 = 233510491283
BaseRepresentation
bin10011010000001…
…01101100101000
3102020220020220010
421220011230220
5312321112130
624005331520
74000522155
oct1150055450
9366806803
10161504040
118318a415
1246106ba0
13275c9229
141764122c
15e2a30b0
hex9a05b28

161504040 has 64 divisors (see below), whose sum is σ = 485352000. Its totient is φ = 42993152.

The previous prime is 161504033. The next prime is 161504041. The reversal of 161504040 is 40405161.

It is a super-3 number, since 3×1615040403 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 161503998 and 161504016.

It is not an unprimeable number, because it can be changed into a prime (161504041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125239 + ... + 126521.

It is an arithmetic number, because the mean of its divisors is an integer number (7583625).

Almost surely, 2161504040 is an apocalyptic number.

161504040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

161504040 is an abundant number, since it is smaller than the sum of its proper divisors (323847960).

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

161504040 is a wasteful number, since it uses less digits than its factorization.

161504040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2346 (or 2342 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 161504040 is about 12708.4239778188. The cubic root of 161504040 is about 544.5793010687.

The spelling of 161504040 in words is "one hundred sixty-one million, five hundred four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1049 1283 2098 2566 3147 3849 4196 5132 5245 6294 6415 7698 8392 10264 10490 12588 12830 15396 15735 19245 20980 25176 25660 30792 31470 38490 41960 51320 62940 76980 125880 153960 1345867 2691734 4037601 5383468 6729335 8075202 10766936 13458670 16150404 20188005 26917340 32300808 40376010 53834680 80752020 161504040