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402004240 = 245111014523
BaseRepresentation
bin10111111101100…
…001100100010000
31001000102221010221
4113331201210100
51310403113430
6103520202424
712650660011
oct2775414420
91030387127
10402004240
11196a14810
12b2769414
1365393941
143b567008
152545c57a
hex17f61910

402004240 has 80 divisors (see below), whose sum is σ = 1029951936. Its totient is φ = 144704000.

The previous prime is 402004217. The next prime is 402004247. The reversal of 402004240 is 42400204.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (402004247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86619 + ... + 91141.

Almost surely, 2402004240 is an apocalyptic number.

402004240 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 402004240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514975968).

402004240 is an abundant number, since it is smaller than the sum of its proper divisors (627947696).

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

402004240 is a wasteful number, since it uses less digits than its factorization.

402004240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4648 (or 4642 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 16.

The square root of 402004240 is about 20050.0433914742. The cubic root of 402004240 is about 738.0348639410.

Adding to 402004240 its reverse (42400204), we get a palindrome (444404444).

The spelling of 402004240 in words is "four hundred two million, four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 101 110 176 202 220 404 440 505 808 880 1010 1111 1616 2020 2222 4040 4444 4523 5555 8080 8888 9046 11110 17776 18092 22220 22615 36184 44440 45230 49753 72368 88880 90460 99506 180920 199012 248765 361840 398024 456823 497530 796048 913646 995060 1827292 1990120 2284115 3654584 3980240 4568230 5025053 7309168 9136460 10050106 18272920 20100212 25125265 36545840 40200424 50250530 80400848 100501060 201002120 402004240