Search a number
-
+
42703440 = 24351313687
BaseRepresentation
bin1010001011100…
…1101001010000
32222100120002220
42202321221100
541413002230
64123141040
71025654553
oct242715120
988316086
1042703440
11221177aa
1212374780
138b02210
14595869a
153b37d10
hex28b9a50

42703440 has 80 divisors (see below), whose sum is σ = 142574208. Its totient is φ = 10510848.

The previous prime is 42703421. The next prime is 42703459. The reversal of 42703440 is 4430724.

It is an interprime number because it is at equal distance from previous prime (42703421) and next prime (42703459).

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a zygodrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 42703440.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 3724 + ... + 9963.

Almost surely, 242703440 is an apocalyptic number.

42703440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42703440 is an abundant number, since it is smaller than the sum of its proper divisors (99870768).

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

42703440 is a wasteful number, since it uses less digits than its factorization.

42703440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13716 (or 13710 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 42703440 is about 6534.7869131288. The cubic root of 42703440 is about 349.5325460225.

The spelling of 42703440 in words is "forty-two million, seven hundred three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 13687 27374 41061 54748 68435 82122 109496 136870 164244 177931 205305 218992 273740 328488 355862 410610 533793 547480 656976 711724 821220 889655 1067586 1094960 1423448 1642440 1779310 2135172 2668965 2846896 3284880 3558620 4270344 5337930 7117240 8540688 10675860 14234480 21351720 42703440