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120401320 = 235132310067
BaseRepresentation
bin1110010110100…
…10110110101000
322101120000120011
413023102312220
5221310320240
615540341304
72661252154
oct713226650
9271500504
10120401320
1161a66326
12343a4834
131bc377b0
1411dc2064
15a8846ea
hex72d2da8

120401320 has 64 divisors (see below), whose sum is σ = 304456320. Its totient is φ = 42518784.

The previous prime is 120401311. The next prime is 120401321. The reversal of 120401320 is 23104021.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 120401320.

It is not an unprimeable number, because it can be changed into a prime (120401321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6927 + ... + 16993.

It is an arithmetic number, because the mean of its divisors is an integer number (4757130).

Almost surely, 2120401320 is an apocalyptic number.

120401320 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 120401320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152228160).

120401320 is an abundant number, since it is smaller than the sum of its proper divisors (184055000).

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

120401320 is a wasteful number, since it uses less digits than its factorization.

120401320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10114 (or 10110 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 120401320 is about 10972.7535286272. The cubic root of 120401320 is about 493.7916587187.

Adding to 120401320 its reverse (23104021), we get a palindrome (143505341).

The spelling of 120401320 in words is "one hundred twenty million, four hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 23 26 40 46 52 65 92 104 115 130 184 230 260 299 460 520 598 920 1196 1495 2392 2990 5980 10067 11960 20134 40268 50335 80536 100670 130871 201340 231541 261742 402680 463082 523484 654355 926164 1046968 1157705 1308710 1852328 2315410 2617420 3010033 4630820 5234840 6020066 9261640 12040132 15050165 24080264 30100330 60200660 120401320