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200102720 = 265631991
BaseRepresentation
bin10111110110101…
…01001101000000
3111221112021022212
423323111031000
5402211241340
631504521252
74646562566
oct1373251500
9457467285
10200102720
11a2a53154
1257020228
13325c1c9c
141c80ba36
1512879a65
hexbed5340

200102720 has 56 divisors (see below), whose sum is σ = 477731328. Its totient is φ = 79833600.

The previous prime is 200102681. The next prime is 200102789. The reversal of 200102720 is 27201002.

200102720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 200102695 and 200102704.

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, 201425 + ... + 202415.

Almost surely, 2200102720 is an apocalyptic number.

200102720 is a gapful number since it is divisible by the number (20) 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 200102720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238865664).

200102720 is an abundant number, since it is smaller than the sum of its proper divisors (277628608).

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

200102720 is an equidigital number, since it uses as much as digits as its factorization.

200102720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1639 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 200102720 is about 14145.7668579685. The cubic root of 200102720 is about 584.9036488746.

Adding to 200102720 its reverse (27201002), we get a palindrome (227303722).

The spelling of 200102720 in words is "two hundred million, one hundred two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 631 991 1262 1982 2524 3155 3964 4955 5048 6310 7928 9910 10096 12620 15856 19820 20192 25240 31712 39640 40384 50480 63424 79280 100960 158560 201920 317120 625321 1250642 2501284 3126605 5002568 6253210 10005136 12506420 20010272 25012840 40020544 50025680 100051360 200102720