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20725416 = 2333229419
BaseRepresentation
bin100111100001…
…1111010101000
31102222221221000
41033003322220
520301203131
62020115000
7341106645
oct117037250
942887830
1020725416
1110776348
126b35a60
1343a867a
142a76dcc
151c45ce6
hex13c3ea8

20725416 has 64 divisors (see below), whose sum is σ = 57960000. Its totient is φ = 6861888.

The previous prime is 20725403. The next prime is 20725427. The reversal of 20725416 is 61452702.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20725416.

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 15 ways as a sum of consecutive naturals, for example, 49255 + ... + 49673.

It is an arithmetic number, because the mean of its divisors is an integer number (905625).

Almost surely, 220725416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20725416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28980000).

20725416 is an abundant number, since it is smaller than the sum of its proper divisors (37234584).

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

20725416 is a wasteful number, since it uses less digits than its factorization.

20725416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 20725416 is about 4552.5175452710. The cubic root of 20725416 is about 274.6846677596.

The spelling of 20725416 in words is "twenty million, seven hundred twenty-five thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 229 419 458 687 838 916 1257 1374 1676 1832 2061 2514 2748 3352 3771 4122 5028 5496 6183 7542 8244 10056 11313 12366 15084 16488 22626 24732 30168 45252 49464 90504 95951 191902 287853 383804 575706 767608 863559 1151412 1727118 2302824 2590677 3454236 5181354 6908472 10362708 20725416