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200157126 = 231311322709
BaseRepresentation
bin10111110111000…
…10011111000110
3111221122000221220
423323202133012
5402220012001
631510021210
74650210321
oct1373423706
9457560856
10200157126
11a2a90014
1257047806
1332610990
141c8237b8
151288ac36
hexbee27c6

200157126 has 32 divisors (see below), whose sum is σ = 434941920. Its totient is φ = 61039104.

The previous prime is 200157107. The next prime is 200157151. The reversal of 200157126 is 621751002.

It is a junction number, because it is equal to n+sod(n) for n = 200157096 and 200157105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2541 + ... + 20168.

It is an arithmetic number, because the mean of its divisors is an integer number (13591935).

Almost surely, 2200157126 is an apocalyptic number.

200157126 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

200157126 is an abundant number, since it is smaller than the sum of its proper divisors (234784794).

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

200157126 is a wasteful number, since it uses less digits than its factorization.

200157126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22840.

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 200157126 is about 14147.6897760730. The cubic root of 200157126 is about 584.9566539583.

The spelling of 200157126 in words is "two hundred million, one hundred fifty-seven thousand, one hundred twenty-six".

Divisors: 1 2 3 6 13 26 39 78 113 226 339 678 1469 2938 4407 8814 22709 45418 68127 136254 295217 590434 885651 1771302 2566117 5132234 7698351 15396702 33359521 66719042 100078563 200157126