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74013840 = 24325102797
BaseRepresentation
bin1000110100101…
…01110010010000
312011021021220100
410122111302100
5122421420330
611202212400
71556051535
oct432256220
9164237810
1074013840
113886276a
1220954100
1312445794
149b88d8c
156770060
hex4695c90

74013840 has 60 divisors (see below), whose sum is σ = 248565564. Its totient is φ = 19736832.

The previous prime is 74013817. The next prime is 74013847. The reversal of 74013840 is 4831047.

It can be written as a sum of positive squares in 2 ways, for example, as 17943696 + 56070144 = 4236^2 + 7488^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is not an unprimeable number, because it can be changed into a prime (74013847) 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 11 ways as a sum of consecutive naturals, for example, 50679 + ... + 52118.

Almost surely, 274013840 is an apocalyptic number.

It is an amenable number.

74013840 is an abundant number, since it is smaller than the sum of its proper divisors (174551724).

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

74013840 is a wasteful number, since it uses less digits than its factorization.

74013840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102816 (or 102807 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 74013840 is about 8603.1296630935. The cubic root of 74013840 is about 419.8598171621.

Adding to 74013840 its reverse (4831047), we get a palindrome (78844887).

The spelling of 74013840 in words is "seventy-four million, thirteen thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 102797 205594 308391 411188 513985 616782 822376 925173 1027970 1233564 1541955 1644752 1850346 2055940 2467128 3083910 3700692 4111880 4625865 4934256 6167820 7401384 8223760 9251730 12335640 14802768 18503460 24671280 37006920 74013840