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401208240 = 243512713163
BaseRepresentation
bin10111111010011…
…111001110110000
31000221221111020110
4113322133032300
51310202130430
6103451141320
712641133216
oct2772371660
91027844213
10401208240
11196520764
12b2444840
1365175534
143b3dacb6
15253517b0
hex17e9f3b0

401208240 has 80 divisors (see below), whose sum is σ = 1253634048. Its totient is φ = 106138368.

The previous prime is 401208221. The next prime is 401208287. The reversal of 401208240 is 42802104.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23899 + ... + 37061.

Almost surely, 2401208240 is an apocalyptic number.

401208240 is a gapful number since it is divisible by the number (40) 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 401208240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (626817024).

401208240 is an abundant number, since it is smaller than the sum of its proper divisors (852425808).

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

401208240 is a wasteful number, since it uses less digits than its factorization.

401208240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13306 (or 13300 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 401208240 is about 20030.1832243242. The cubic root of 401208240 is about 737.5474197222.

The spelling of 401208240 in words is "four hundred one million, two hundred eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 127 240 254 381 508 635 762 1016 1270 1524 1905 2032 2540 3048 3810 5080 6096 7620 10160 13163 15240 26326 30480 39489 52652 65815 78978 105304 131630 157956 197445 210608 263260 315912 394890 526520 631824 789780 1053040 1579560 1671701 3159120 3343402 5015103 6686804 8358505 10030206 13373608 16717010 20060412 25075515 26747216 33434020 40120824 50151030 66868040 80241648 100302060 133736080 200604120 401208240