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120336768 = 2732104459
BaseRepresentation
bin1110010110000…
…11000110000000
322101102202000100
413023003012000
5221301234033
615535122400
72660563026
oct713030600
9271382010
10120336768
1161a21882
1234373400
131bc142b6
1411da6716
15a870513
hex72c3180

120336768 has 48 divisors (see below), whose sum is σ = 346284900. Its totient is φ = 40111872.

The previous prime is 120336743. The next prime is 120336787. The reversal of 120336768 is 867633021.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 51078 + ... + 53381.

Almost surely, 2120336768 is an apocalyptic number.

120336768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

120336768 is an abundant number, since it is smaller than the sum of its proper divisors (225948132).

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

120336768 is a wasteful number, since it uses less digits than its factorization.

120336768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104479 (or 104464 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 120336768 is about 10969.8116665693. The cubic root of 120336768 is about 493.7033957401.

Adding to 120336768 its reverse (867633021), we get a palindrome (987969789).

It can be divided in two parts, 120336 and 768, that added together give a square (121104 = 3482).

The spelling of 120336768 in words is "one hundred twenty million, three hundred thirty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 104459 208918 313377 417836 626754 835672 940131 1253508 1671344 1880262 2507016 3342688 3760524 5014032 6685376 7521048 10028064 13370752 15042096 20056128 30084192 40112256 60168384 120336768