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161380320 = 25351719777
BaseRepresentation
bin10011001111001…
…11011111100000
3102020122222011220
421213213133200
5312303132240
624002535040
73666465363
oct1147473740
9366588156
10161380320
1183105472
1246067480
1327584b1a
141760c0da
15e27b5d0
hex99e77e0

161380320 has 96 divisors (see below), whose sum is σ = 538278048. Its totient is φ = 40501248.

The previous prime is 161380313. The next prime is 161380361. The reversal of 161380320 is 23083161.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1729 + ... + 18048.

It is an arithmetic number, because the mean of its divisors is an integer number (5607063).

Almost surely, 2161380320 is an apocalyptic number.

161380320 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 161380320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269139024).

161380320 is an abundant number, since it is smaller than the sum of its proper divisors (376897728).

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

161380320 is a wasteful number, since it uses less digits than its factorization.

161380320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19812 (or 19804 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 161380320 is about 12703.5554078376. Note that the first 3 decimals coincide. The cubic root of 161380320 is about 544.4402074115.

The spelling of 161380320 in words is "one hundred sixty-one million, three hundred eighty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 68 80 85 96 102 120 136 160 170 204 240 255 272 340 408 480 510 544 680 816 1020 1360 1632 2040 2720 4080 8160 19777 39554 59331 79108 98885 118662 158216 197770 237324 296655 316432 336209 395540 474648 593310 632864 672418 791080 949296 1008627 1186620 1344836 1582160 1681045 1898592 2017254 2373240 2689672 3164320 3362090 4034508 4746480 5043135 5379344 6724180 8069016 9492960 10086270 10758688 13448360 16138032 20172540 26896720 32276064 40345080 53793440 80690160 161380320