Search a number
-
+
202428660 = 223571925367
BaseRepresentation
bin11000001000011…
…01000011110100
3112002220102220210
430010031003310
5403310204120
632030425420
75005421010
oct1404150364
9462812823
10202428660
11a42a1715
1257962270
1332c27895
141cc55540
1512b88ce0
hexc10d0f4

202428660 has 96 divisors (see below), whose sum is σ = 681891840. Its totient is φ = 43832448.

The previous prime is 202428659. The next prime is 202428689. The reversal of 202428660 is 66824202.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4704 + ... + 20663.

It is an arithmetic number, because the mean of its divisors is an integer number (7103040).

Almost surely, 2202428660 is an apocalyptic number.

202428660 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 202428660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340945920).

202428660 is an abundant number, since it is smaller than the sum of its proper divisors (479463180).

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

202428660 is a wasteful number, since it uses less digits than its factorization.

202428660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25405 (or 25403 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 202428660 is about 14227.7426178575. The cubic root of 202428660 is about 587.1611784071.

The spelling of 202428660 in words is "two hundred two million, four hundred twenty-eight thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 19 20 21 28 30 35 38 42 57 60 70 76 84 95 105 114 133 140 190 210 228 266 285 380 399 420 532 570 665 798 1140 1330 1596 1995 2660 3990 7980 25367 50734 76101 101468 126835 152202 177569 253670 304404 355138 380505 481973 507340 532707 710276 761010 887845 963946 1065414 1445919 1522020 1775690 1927892 2130828 2409865 2663535 2891838 3373811 3551380 4819730 5327070 5783676 6747622 7229595 9639460 10121433 10654140 13495244 14459190 16869055 20242866 28918380 33738110 40485732 50607165 67476220 101214330 202428660