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120232320 = 2735134817
BaseRepresentation
bin1110010101010…
…01100110000000
322101020102201220
413022221212000
5221234413240
615532555040
72656646355
oct712514600
9271212656
10120232320
116196035a
1234322a80
131bba88b0
1411d7a62c
15a84e5d0
hex72a9980

120232320 has 128 divisors (see below), whose sum is σ = 412806240. Its totient is φ = 29589504.

The previous prime is 120232271. The next prime is 120232337. The reversal of 120232320 is 23232021.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120232320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22552 + ... + 27368.

Almost surely, 2120232320 is an apocalyptic number.

120232320 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 120232320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206403120).

120232320 is an abundant number, since it is smaller than the sum of its proper divisors (292573920).

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

120232320 is a wasteful number, since it uses less digits than its factorization.

120232320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4852 (or 4840 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 120232320 is about 10965.0499314869. The cubic root of 120232320 is about 493.5605154451.

Adding to 120232320 its reverse (23232021), we get a palindrome (143464341).

It can be divided in two parts, 120 and 232320, that multiplied together give a square (27878400 = 52802).

The spelling of 120232320 in words is "one hundred twenty million, two hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 260 312 320 384 390 416 480 520 624 640 780 832 960 1040 1248 1560 1664 1920 2080 2496 3120 4160 4817 4992 6240 8320 9634 12480 14451 19268 24085 24960 28902 38536 48170 57804 62621 72255 77072 96340 115608 125242 144510 154144 187863 192680 231216 250484 289020 308288 313105 375726 385360 462432 500968 578040 616576 626210 751452 770720 924864 939315 1001936 1156080 1252420 1502904 1541440 1849728 1878630 2003872 2312160 2504840 3005808 3082880 3757260 4007744 4624320 5009680 6011616 7514520 8015488 9248640 10019360 12023232 15029040 20038720 24046464 30058080 40077440 60116160 120232320