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120045552 = 2431131879
BaseRepresentation
bin1110010011110…
…11111111110000
322100212221112120
413021323333300
5221212424202
615524554240
72655241014
oct711737760
9270787476
10120045552
1161843000
1234252980
131bb41893
1411d2c544
15a8140bc
hex727bff0

120045552 has 80 divisors (see below), whose sum is σ = 341287680. Its totient is φ = 36358080.

The previous prime is 120045539. The next prime is 120045557. The reversal of 120045552 is 255540021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120045557) 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, 62949 + ... + 64827.

It is an arithmetic number, because the mean of its divisors is an integer number (4266096).

Almost surely, 2120045552 is an apocalyptic number.

120045552 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 120045552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170643840).

120045552 is an abundant number, since it is smaller than the sum of its proper divisors (221242128).

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

120045552 is a wasteful number, since it uses less digits than its factorization.

120045552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1923 (or 1895 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 120045552 is about 10956.5301076573. The cubic root of 120045552 is about 493.3048185775.

Adding to 120045552 its reverse (255540021), we get a palindrome (375585573).

The spelling of 120045552 in words is "one hundred twenty million, forty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 121 132 176 242 264 363 484 528 726 968 1331 1452 1879 1936 2662 2904 3758 3993 5324 5637 5808 7516 7986 10648 11274 15032 15972 20669 21296 22548 30064 31944 41338 45096 62007 63888 82676 90192 124014 165352 227359 248028 330704 454718 496056 682077 909436 992112 1364154 1818872 2500949 2728308 3637744 5001898 5456616 7502847 10003796 10913232 15005694 20007592 30011388 40015184 60022776 120045552