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73420128 = 253384977
BaseRepresentation
bin1000110000001…
…00110101100000
312010011010111000
410120010311200
5122243421003
611141352000
71551026565
oct430046540
9163133430
1073420128
11384976a1
1220708600
1312298482
149a7286c
1566a41a3
hex4604d60

73420128 has 48 divisors (see below), whose sum is σ = 214144560. Its totient is φ = 24473088.

The previous prime is 73420079. The next prime is 73420147. The reversal of 73420128 is 82102437.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41625 + ... + 43352.

It is an arithmetic number, because the mean of its divisors is an integer number (4461345).

Almost surely, 273420128 is an apocalyptic number.

It is an amenable number.

73420128 is an abundant number, since it is smaller than the sum of its proper divisors (140724432).

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

73420128 is a wasteful number, since it uses less digits than its factorization.

73420128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84996 (or 84982 counting only the distinct ones).

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

The square root of 73420128 is about 8568.5546038991. The cubic root of 73420128 is about 418.7341478220.

The spelling of 73420128 in words is "seventy-three million, four hundred twenty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 84977 169954 254931 339908 509862 679816 764793 1019724 1359632 1529586 2039448 2294379 2719264 3059172 4078896 4588758 6118344 8157792 9177516 12236688 18355032 24473376 36710064 73420128