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153430320 = 24351933647
BaseRepresentation
bin10010010010100…
…10100100110000
3101200201001211110
421021102210300
5303234232240
623120313320
73542064501
oct1111224460
9350631743
10153430320
117967551a
1243472840
1325a30394
141653cba8
15d70ac80
hex9252930

153430320 has 80 divisors (see below), whose sum is σ = 500682240. Its totient is φ = 38760192.

The previous prime is 153430307. The next prime is 153430349. The reversal of 153430320 is 23034351.

It is a tau number, because it is divible by the number of its divisors (80).

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, 12264 + ... + 21383.

It is an arithmetic number, because the mean of its divisors is an integer number (6258528).

Almost surely, 2153430320 is an apocalyptic number.

153430320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153430320 is an abundant number, since it is smaller than the sum of its proper divisors (347251920).

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

153430320 is a wasteful number, since it uses less digits than its factorization.

153430320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33682 (or 33676 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 153430320 is about 12386.6993182203. The cubic root of 153430320 is about 535.3490836151.

Adding to 153430320 its reverse (23034351), we get a palindrome (176464671).

The spelling of 153430320 in words is "one hundred fifty-three million, four hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 33647 67294 100941 134588 168235 201882 269176 336470 403764 504705 538352 639293 672940 807528 1009410 1278586 1345880 1615056 1917879 2018820 2557172 2691760 3196465 3835758 4037640 5114344 6392930 7671516 8075280 9589395 10228688 12785860 15343032 19178790 25571720 30686064 38357580 51143440 76715160 153430320