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74468940 = 223571323593
BaseRepresentation
bin1000111000001…
…00111001001100
312012010102011220
410130010321030
5123031001230
611220043340
71562655420
oct434047114
9165112156
1074468940
1139043687
1220b33550
1312574980
149c66b80
15680ed10
hex4704e4c

74468940 has 192 divisors, whose sum is σ = 268240896. Its totient is φ = 15003648.

The previous prime is 74468929. The next prime is 74468941. The reversal of 74468940 is 4986447.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 74468892 and 74468901.

It is not an unprimeable number, because it can be changed into a prime (74468941) 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 63 ways as a sum of consecutive naturals, for example, 125284 + ... + 125876.

It is an arithmetic number, because the mean of its divisors is an integer number (1397088).

Almost surely, 274468940 is an apocalyptic number.

74468940 is a gapful number since it is divisible by the number (70) 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 74468940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134120448).

74468940 is an abundant number, since it is smaller than the sum of its proper divisors (193771956).

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

74468940 is a wasteful number, since it uses less digits than its factorization.

74468940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

The square root of 74468940 is about 8629.5388057532. The cubic root of 74468940 is about 420.7186110404.

The spelling of 74468940 in words is "seventy-four million, four hundred sixty-eight thousand, nine hundred forty".