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201452420 = 225133743487
BaseRepresentation
bin11000000000111…
…10101110000100
3112001001211202202
430000132232010
5403032434140
631553454032
74664213561
oct1400365604
9461054682
10201452420
11a3795204
1257571318
1332975420
141ca7d868
1512a44915
hexc01eb84

201452420 has 96 divisors (see below), whose sum is σ = 479770368. Its totient is φ = 70543872.

The previous prime is 201452411. The next prime is 201452437. The reversal of 201452420 is 24254102.

It is a happy number.

201452420 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 201452392 and 201452401.

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, 413417 + ... + 413903.

It is an arithmetic number, because the mean of its divisors is an integer number (4997608).

Almost surely, 2201452420 is an apocalyptic number.

201452420 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 201452420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239885184).

201452420 is an abundant number, since it is smaller than the sum of its proper divisors (278317948).

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

201452420 is a wasteful number, since it uses less digits than its factorization.

201452420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 201452420 is about 14193.3935336127. The cubic root of 201452420 is about 586.2157685242.

The spelling of 201452420 in words is "two hundred one million, four hundred fifty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 37 43 52 65 74 86 130 148 172 185 215 260 370 430 481 487 559 740 860 962 974 1118 1591 1924 1948 2236 2405 2435 2795 3182 4810 4870 5590 6331 6364 7955 9620 9740 11180 12662 15910 18019 20683 20941 25324 31655 31820 36038 41366 41882 63310 72076 82732 83764 90095 103415 104705 126620 180190 206830 209410 234247 272233 360380 413660 418820 468494 544466 774817 936988 1088932 1171235 1361165 1549634 2342470 2722330 3099268 3874085 4684940 5444660 7748170 10072621 15496340 20145242 40290484 50363105 100726210 201452420