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120728232 = 2336127163
BaseRepresentation
bin1110011001000…
…10101010101000
322102011122000000
413030202222220
5221401300412
615551343000
72664113232
oct714425250
9272148000
10120728232
11621699a9
1234521a60
131c020531
1412069252
15a8eb4dc
hex7322aa8

120728232 has 112 divisors (see below), whose sum is σ = 344163840. Its totient is φ = 39680928.

The previous prime is 120728197. The next prime is 120728263. The reversal of 120728232 is 232827021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 120728196 and 120728205.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 740583 + ... + 740745.

Almost surely, 2120728232 is an apocalyptic number.

120728232 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 120728232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172081920).

120728232 is an abundant number, since it is smaller than the sum of its proper divisors (223435608).

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

120728232 is a wasteful number, since it uses less digits than its factorization.

120728232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 120728232 is about 10987.6399649788. The cubic root of 120728232 is about 494.2381669402.

The spelling of 120728232 in words is "one hundred twenty million, seven hundred twenty-eight thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 127 162 163 216 243 254 324 326 381 486 489 508 648 652 729 762 972 978 1016 1143 1304 1458 1467 1524 1944 1956 2286 2916 2934 3048 3429 3912 4401 4572 5832 5868 6858 8802 9144 10287 11736 13203 13716 17604 20574 20701 26406 27432 30861 35208 39609 41148 41402 52812 61722 62103 79218 82296 82804 92583 105624 118827 123444 124206 158436 165608 185166 186309 237654 246888 248412 316872 370332 372618 475308 496824 558927 740664 745236 950616 1117854 1490472 1676781 2235708 3353562 4471416 5030343 6707124 10060686 13414248 15091029 20121372 30182058 40242744 60364116 120728232