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42134280 = 23353111129
BaseRepresentation
bin1010000010111…
…0101100001000
32221021122100220
42200232230020
541241244110
64103030040
71021064316
oct240565410
987248326
1042134280
1121869121
121213b320
138963136
14584b0b6
153a74370
hex282eb08

42134280 has 64 divisors (see below), whose sum is σ = 126921600. Its totient is φ = 11189760.

The previous prime is 42134269. The next prime is 42134297. The reversal of 42134280 is 8243124.

It is a super-2 number, since 2×421342802 = 3550595102236800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42134280.

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, 36756 + ... + 37884.

It is an arithmetic number, because the mean of its divisors is an integer number (1983150).

Almost surely, 242134280 is an apocalyptic number.

42134280 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 42134280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63460800).

42134280 is an abundant number, since it is smaller than the sum of its proper divisors (84787320).

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

42134280 is a wasteful number, since it uses less digits than its factorization.

42134280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1454 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 42134280 is about 6491.0923579934. The cubic root of 42134280 is about 347.9727155250.

The spelling of 42134280 in words is "forty-two million, one hundred thirty-four thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 311 622 933 1129 1244 1555 1866 2258 2488 3110 3387 3732 4516 4665 5645 6220 6774 7464 9032 9330 11290 12440 13548 16935 18660 22580 27096 33870 37320 45160 67740 135480 351119 702238 1053357 1404476 1755595 2106714 2808952 3511190 4213428 5266785 7022380 8426856 10533570 14044760 21067140 42134280