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20909772 = 22331353281
BaseRepresentation
bin100111111000…
…0111011001100
31110100022211000
41033300323030
520323103042
62024100300
7342505302
oct117607314
943308730
1020909772
1110891904
127004690
134441560
142ac4272
151c8074c
hex13f0ecc

20909772 has 96 divisors (see below), whose sum is σ = 59693760. Its totient is φ = 6289920.

The previous prime is 20909771. The next prime is 20909789. The reversal of 20909772 is 27790902.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20909771) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 74272 + ... + 74552.

It is an arithmetic number, because the mean of its divisors is an integer number (621810).

Almost surely, 220909772 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 20909772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29846880).

20909772 is an abundant number, since it is smaller than the sum of its proper divisors (38783988).

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

20909772 is a wasteful number, since it uses less digits than its factorization.

20909772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 20909772 is about 4572.7204156826. The cubic root of 20909772 is about 275.4967198883.

The spelling of 20909772 in words is "twenty million, nine hundred nine thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 53 54 78 106 108 117 156 159 212 234 281 318 351 468 477 562 636 689 702 843 954 1124 1378 1404 1431 1686 1908 2067 2529 2756 2862 3372 3653 4134 5058 5724 6201 7306 7587 8268 10116 10959 12402 14612 14893 15174 18603 21918 24804 29786 30348 32877 37206 43836 44679 59572 65754 74412 89358 98631 131508 134037 178716 193609 197262 268074 387218 394524 402111 536148 580827 774436 804222 1161654 1608444 1742481 2323308 3484962 5227443 6969924 10454886 20909772