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20402688 = 29337359
BaseRepresentation
bin100110111010…
…1001000000000
31102101120020010
41031311020000
520210341223
62005144520
7335264025
oct115651000
942346203
1020402688
1110575929
1269bb140
1342c47c7
1429d154c
151bd0393
hex1375200

20402688 has 80 divisors (see below), whose sum is σ = 55978560. Its totient is φ = 6598656.

The previous prime is 20402687. The next prime is 20402693. The reversal of 20402688 is 88620402.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20402687) 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, 56653 + ... + 57011.

It is an arithmetic number, because the mean of its divisors is an integer number (699732).

Almost surely, 220402688 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 20402688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27989280).

20402688 is an abundant number, since it is smaller than the sum of its proper divisors (35575872).

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

20402688 is an equidigital number, since it uses as much as digits as its factorization.

20402688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 20402688 is about 4516.9334730545. The cubic root of 20402688 is about 273.2514421873.

The spelling of 20402688 in words is "twenty million, four hundred two thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 256 296 359 384 444 512 592 718 768 888 1077 1184 1436 1536 1776 2154 2368 2872 3552 4308 4736 5744 7104 8616 9472 11488 13283 14208 17232 18944 22976 26566 28416 34464 39849 45952 53132 56832 68928 79698 91904 106264 137856 159396 183808 212528 275712 318792 425056 551424 637584 850112 1275168 1700224 2550336 3400448 5100672 6800896 10201344 20402688