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201151420 = 22543673491
BaseRepresentation
bin10111111110101…
…01001110111100
3112000111112212121
423333111032330
5402443321140
631543212324
74661521201
oct1377251674
9460445777
10201151420
11a35aa048
12574470a4
133289b412
141ca01ca8
15129d564a
hexbfd53bc

201151420 has 48 divisors (see below), whose sum is σ = 438818688. Its totient is φ = 77394240.

The previous prime is 201151409. The next prime is 201151421. The reversal of 201151420 is 24151102.

It is a junction number, because it is equal to n+sod(n) for n = 201151394 and 201151403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201151421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55875 + ... + 59365.

It is an arithmetic number, because the mean of its divisors is an integer number (9142056).

Almost surely, 2201151420 is an apocalyptic number.

201151420 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 201151420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219409344).

201151420 is an abundant number, since it is smaller than the sum of its proper divisors (237667268).

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

201151420 is a wasteful number, since it uses less digits than its factorization.

201151420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3610 (or 3608 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 201151420 is about 14182.7860450618. The cubic root of 201151420 is about 585.9236583563.

The spelling of 201151420 in words is "two hundred one million, one hundred fifty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 43 67 86 134 172 215 268 335 430 670 860 1340 2881 3491 5762 6982 11524 13964 14405 17455 28810 34910 57620 69820 150113 233897 300226 467794 600452 750565 935588 1169485 1501130 2338970 3002260 4677940 10057571 20115142 40230284 50287855 100575710 201151420