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942129210 = 235116742611
BaseRepresentation
bin111000001001111…
…100000000111010
32102122210010022110
4320021330000322
53412141113320
6233253033150
732226652251
oct7011740072
92378703273
10942129210
11443897690
122236257b6
13120257409
148d1a5798
1557a9e5e0
hex3827c03a

942129210 has 64 divisors (see below), whose sum is σ = 2503540224. Its totient is φ = 224980800.

The previous prime is 942129179. The next prime is 942129217. The reversal of 942129210 is 12921249.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (942129217) 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 31 ways as a sum of consecutive naturals, for example, 805 + ... + 43415.

It is an arithmetic number, because the mean of its divisors is an integer number (39117816).

Almost surely, 2942129210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 942129210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1251770112).

942129210 is an abundant number, since it is smaller than the sum of its proper divisors (1561411014).

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

942129210 is a wasteful number, since it uses less digits than its factorization.

942129210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42699.

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 942129210 is about 30694.1233789141. The cubic root of 942129210 is about 980.3251766939.

The spelling of 942129210 in words is "nine hundred forty-two million, one hundred twenty-nine thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 67 110 134 165 201 330 335 402 670 737 1005 1474 2010 2211 3685 4422 7370 11055 22110 42611 85222 127833 213055 255666 426110 468721 639165 937442 1278330 1406163 2343605 2812326 2854937 4687210 5709874 7030815 8564811 14061630 14274685 17129622 28549370 31404307 42824055 62808614 85648110 94212921 157021535 188425842 314043070 471064605 942129210