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4073920 = 26529439
BaseRepresentation
bin1111100010100111000000
321122222100221
433202213000
52020331140
6223152424
746425214
oct17424700
97588327
104073920
112332884
121445714
13ac8406
14780944
1555714a
hex3e29c0

4073920 has 56 divisors (see below), whose sum is σ = 10058400. Its totient is φ = 1569792.

The previous prime is 4073917. The next prime is 4073929. The reversal of 4073920 is 293704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4073929) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9061 + ... + 9499.

Almost surely, 24073920 is an apocalyptic number.

4073920 is a gapful number since it is divisible by the number (40) 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 4073920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5029200).

4073920 is an abundant number, since it is smaller than the sum of its proper divisors (5984480).

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

4073920 is a wasteful number, since it uses less digits than its factorization.

4073920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 4073920 is about 2018.3954022936. The cubic root of 4073920 is about 159.7119818457.

The spelling of 4073920 in words is "four million, seventy-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 145 160 232 290 320 439 464 580 878 928 1160 1756 1856 2195 2320 3512 4390 4640 7024 8780 9280 12731 14048 17560 25462 28096 35120 50924 63655 70240 101848 127310 140480 203696 254620 407392 509240 814784 1018480 2036960 4073920