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42297120 = 253359791
BaseRepresentation
bin1010000101011…
…0011100100000
32221120220202000
42201112130200
541312001440
64110324000
71022343135
oct241263440
987526660
1042297120
112196a4a8
12121b9600
1389bc2a8
14589058c
153aa7730
hex2856720

42297120 has 96 divisors (see below), whose sum is σ = 148055040. Its totient is φ = 11278080.

The previous prime is 42297107. The next prime is 42297121. The reversal of 42297120 is 2179224.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (42297121) 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, 576 + ... + 9215.

It is an arithmetic number, because the mean of its divisors is an integer number (1542240).

Almost surely, 242297120 is an apocalyptic number.

42297120 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 42297120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74027520).

42297120 is an abundant number, since it is smaller than the sum of its proper divisors (105757920).

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

42297120 is a wasteful number, since it uses less digits than its factorization.

42297120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9815 (or 9801 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 42297120 is about 6503.6236053449. The cubic root of 42297120 is about 348.4204193535.

The spelling of 42297120 in words is "forty-two million, two hundred ninety-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 9791 19582 29373 39164 48955 58746 78328 88119 97910 117492 146865 156656 176238 195820 234984 264357 293730 313312 352476 391640 440595 469968 528714 587460 704952 783280 881190 939936 1057428 1174920 1321785 1409904 1566560 1762380 2114856 2349840 2643570 2819808 3524760 4229712 4699680 5287140 7049520 8459424 10574280 14099040 21148560 42297120