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74132040 = 2335617767
BaseRepresentation
bin1000110101100…
…10101001001000
312011111022001010
410122302221020
5122434211130
611204523520
71560053253
oct432625110
9164438033
1074132040
1138933554
12209b05a0
1312487518
149bba09a
1567950b0
hex46b2a48

74132040 has 32 divisors (see below), whose sum is σ = 222396480. Its totient is φ = 19768512.

The previous prime is 74132029. The next prime is 74132041. The reversal of 74132040 is 4023147.

It is a junction number, because it is equal to n+sod(n) for n = 74131998 and 74132016.

It is not an unprimeable number, because it can be changed into a prime (74132041) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 308764 + ... + 309003.

It is an arithmetic number, because the mean of its divisors is an integer number (6949890).

Almost surely, 274132040 is an apocalyptic number.

It is an amenable number.

74132040 is an abundant number, since it is smaller than the sum of its proper divisors (148264440).

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

74132040 is a wasteful number, since it uses less digits than its factorization.

74132040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617781 (or 617777 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 74132040 is about 8609.9965156787. The cubic root of 74132040 is about 420.0832034707.

Adding to 74132040 its reverse (4023147), we get a palindrome (78155187).

It can be divided in two parts, 7413 and 2040, that added together give a triangular number (9453 = T137).

The spelling of 74132040 in words is "seventy-four million, one hundred thirty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 617767 1235534 1853301 2471068 3088835 3706602 4942136 6177670 7413204 9266505 12355340 14826408 18533010 24710680 37066020 74132040