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120632040 = 23325335089
BaseRepresentation
bin1110011000010…
…11001011101000
322101222202001100
413030023023220
5221340211130
615545321400
72663232624
oct714131350
9271882040
10120632040
1162103701
1234496260
131bcb8809
1412042184
15a8ccc60
hex730b2e8

120632040 has 48 divisors (see below), whose sum is σ = 392055300. Its totient is φ = 32168448.

The previous prime is 120632027. The next prime is 120632047. The reversal of 120632040 is 40236021.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 114190596 + 6441444 = 10686^2 + 2538^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (120632047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 167185 + ... + 167904.

Almost surely, 2120632040 is an apocalyptic number.

120632040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120632040 is an abundant number, since it is smaller than the sum of its proper divisors (271423260).

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

120632040 is a wasteful number, since it uses less digits than its factorization.

120632040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335106 (or 335099 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 120632040 is about 10983.2618105916. The cubic root of 120632040 is about 494.1068682122.

Adding to 120632040 its reverse (40236021), we get a palindrome (160868061).

The spelling of 120632040 in words is "one hundred twenty million, six hundred thirty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 335089 670178 1005267 1340356 1675445 2010534 2680712 3015801 3350890 4021068 5026335 6031602 6701780 8042136 10052670 12063204 13403560 15079005 20105340 24126408 30158010 40210680 60316020 120632040