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402002240 = 2657317209
BaseRepresentation
bin10111111101100…
…001000101000000
31001000102211101212
4113331201011000
51310403032430
6103520145252
712650651123
oct2775410500
91030384355
10402002240
11196a13262
12b2768228
1365392a63
143b5663ba
152545bb95
hex17f61140

402002240 has 56 divisors (see below), whose sum is σ = 970437480. Its totient is φ = 158588928.

The previous prime is 402002221. The next prime is 402002243. The reversal of 402002240 is 42200204.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 42823936 + 359178304 = 6544^2 + 18952^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402002243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14756 + ... + 31964.

Almost surely, 2402002240 is an apocalyptic number.

402002240 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 402002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (485218740).

402002240 is an abundant number, since it is smaller than the sum of its proper divisors (568435240).

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

402002240 is a wasteful number, since it uses less digits than its factorization.

402002240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17299 (or 17289 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 402002240 is about 20049.9935162084. The cubic root of 402002240 is about 738.0336400135.

Adding to 402002240 its reverse (42200204), we get a palindrome (444202444).

The spelling of 402002240 in words is "four hundred two million, two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 73 80 146 160 292 320 365 584 730 1168 1460 2336 2920 4672 5840 11680 17209 23360 34418 68836 86045 137672 172090 275344 344180 550688 688360 1101376 1256257 1376720 2512514 2753440 5025028 5506880 6281285 10050056 12562570 20100112 25125140 40200224 50250280 80400448 100500560 201001120 402002240