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120233040 = 24351972543
BaseRepresentation
bin1110010101010…
…01110001010000
322101020110201120
413022221301100
5221234424130
615533002240
72656651434
oct712516120
9271213646
10120233040
1161960954
1234323380
131bba9015
1411d7a9c4
15a84e910
hex72a9c50

120233040 has 80 divisors (see below), whose sum is σ = 374761728. Its totient is φ = 31886848.

The previous prime is 120233021. The next prime is 120233063. The reversal of 120233040 is 40332021.

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

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

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, 46009 + ... + 48551.

Almost surely, 2120233040 is an apocalyptic number.

120233040 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 120233040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187380864).

120233040 is an abundant number, since it is smaller than the sum of its proper divisors (254528688).

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

120233040 is a wasteful number, since it uses less digits than its factorization.

120233040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2756 (or 2750 counting only the distinct ones).

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

The square root of 120233040 is about 10965.0827630255. The cubic root of 120233040 is about 493.5615006568.

Adding to 120233040 its reverse (40332021), we get a palindrome (160565061).

The spelling of 120233040 in words is "one hundred twenty million, two hundred thirty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 197 240 394 591 788 985 1182 1576 1970 2364 2543 2955 3152 3940 4728 5086 5910 7629 7880 9456 10172 11820 12715 15258 15760 20344 23640 25430 30516 38145 40688 47280 50860 61032 76290 101720 122064 152580 203440 305160 500971 610320 1001942 1502913 2003884 2504855 3005826 4007768 5009710 6011652 7514565 8015536 10019420 12023304 15029130 20038840 24046608 30058260 40077680 60116520 120233040