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42903720 = 23325373221
BaseRepresentation
bin1010001110101…
…0100010101000
32222201201211200
42203222202220
541440404340
64131324200
71030450506
oct243524250
988651750
1042903720
1122244222
1212450660
138b72422
1459ab676
153b77330
hex28ea8a8

42903720 has 96 divisors (see below), whose sum is σ = 143250120. Its totient is φ = 11128320.

The previous prime is 42903709. The next prime is 42903761. The reversal of 42903720 is 2730924.

42903720 is a `hidden beast` number, since 4 + 290 + 372 + 0 = 666.

42903720 is nontrivially palindromic in base 11.

It can be written as a sum of positive squares in 4 ways, for example, as 42536484 + 367236 = 6522^2 + 606^2 .

It is a zygodrome in base 11.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11710 + ... + 14930.

Almost surely, 242903720 is an apocalyptic number.

42903720 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 42903720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71625060).

42903720 is an abundant number, since it is smaller than the sum of its proper divisors (100346400).

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

42903720 is a wasteful number, since it uses less digits than its factorization.

42903720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3275 (or 3268 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 42903720 is about 6550.0931291089. The cubic root of 42903720 is about 350.0781322167.

The spelling of 42903720 in words is "forty-two million, nine hundred three thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 37 40 45 60 72 74 90 111 120 148 180 185 222 296 333 360 370 444 555 666 740 888 1110 1332 1480 1665 2220 2664 3221 3330 4440 6442 6660 9663 12884 13320 16105 19326 25768 28989 32210 38652 48315 57978 64420 77304 96630 115956 119177 128840 144945 193260 231912 238354 289890 357531 386520 476708 579780 595885 715062 953416 1072593 1159560 1191770 1430124 1787655 2145186 2383540 2860248 3575310 4290372 4767080 5362965 7150620 8580744 10725930 14301240 21451860 42903720