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161023392 = 25321813089
BaseRepresentation
bin10011001100100…
…00010110100000
3102012222211120100
421212100112200
5312210222032
623551142400
73663450645
oct1146202640
9365884510
10161023392
1182991292
1245b14a00
132748b51a
1417557dcc
15e20a97c
hex99905a0

161023392 has 72 divisors (see below), whose sum is σ = 460589220. Its totient is φ = 53360640.

The previous prime is 161023367. The next prime is 161023459. The reversal of 161023392 is 293320161.

It can be written as a sum of positive squares in 2 ways, for example, as 159668496 + 1354896 = 12636^2 + 1164^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50584 + ... + 53672.

Almost surely, 2161023392 is an apocalyptic number.

161023392 is a gapful number since it is divisible by the number (12) 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 161023392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230294610).

161023392 is an abundant number, since it is smaller than the sum of its proper divisors (299565828).

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

161023392 is a wasteful number, since it uses less digits than its factorization.

161023392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3286 (or 3275 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 161023392 is about 12689.4992809015. The cubic root of 161023392 is about 544.0385281247.

The spelling of 161023392 in words is "one hundred sixty-one million, twenty-three thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 181 288 362 543 724 1086 1448 1629 2172 2896 3089 3258 4344 5792 6178 6516 8688 9267 12356 13032 17376 18534 24712 26064 27801 37068 49424 52128 55602 74136 98848 111204 148272 222408 296544 444816 559109 889632 1118218 1677327 2236436 3354654 4472872 5031981 6709308 8945744 10063962 13418616 17891488 20127924 26837232 40255848 53674464 80511696 161023392