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74022480 = 24325719773
BaseRepresentation
bin1000110100101…
…11111001010000
312011021201202100
410122113321100
5122422204410
611202320400
71556115660
oct432277120
9164251670
1074022480
1138869204
1220959100
13124496ac
149b8c1a0
1567728c0
hex4697e50

74022480 has 240 divisors, whose sum is σ = 299445120. Its totient is φ = 16008192.

The previous prime is 74022419. The next prime is 74022527. The reversal of 74022480 is 8422047.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 95374 + ... + 96146.

It is an arithmetic number, because the mean of its divisors is an integer number (1247688).

Almost surely, 274022480 is an apocalyptic number.

74022480 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 74022480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149722560).

74022480 is an abundant number, since it is smaller than the sum of its proper divisors (225422640).

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

74022480 is a wasteful number, since it uses less digits than its factorization.

74022480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 74022480 is about 8603.6317912844. The cubic root of 74022480 is about 419.8761539611.

It can be divided in two parts, 740 and 22480, that added together give a triangular number (23220 = T215).

The spelling of 74022480 in words is "seventy-four million, twenty-two thousand, four hundred eighty".