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42740460 = 2234573769
BaseRepresentation
bin1010001100001…
…0101011101100
32222102102220000
42203002223230
541420143320
64124024300
71026200520
oct243025354
988372800
1042740460
11221425a4
1212392090
138b16019
145967d80
153b43c90
hex28c2aec

42740460 has 120 divisors (see below), whose sum is σ = 153273120. Its totient is φ = 9766656.

The previous prime is 42740449. The next prime is 42740471. The reversal of 42740460 is 6404724.

It is an interprime number because it is at equal distance from previous prime (42740449) and next prime (42740471).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9456 + ... + 13224.

It is an arithmetic number, because the mean of its divisors is an integer number (1277276).

Almost surely, 242740460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42740460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76636560).

42740460 is an abundant number, since it is smaller than the sum of its proper divisors (110532660).

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

42740460 is a wasteful number, since it uses less digits than its factorization.

42740460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3797 (or 3786 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 42740460 is about 6537.6188325720. The cubic root of 42740460 is about 349.6335211623.

The spelling of 42740460 in words is "forty-two million, seven hundred forty thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1260 1620 1890 2268 2835 3769 3780 5670 7538 11307 11340 15076 18845 22614 26383 33921 37690 45228 52766 56535 67842 75380 79149 101763 105532 113070 131915 135684 158298 169605 203526 226140 237447 263830 305289 316596 339210 395745 407052 474894 508815 527660 610578 678420 712341 791490 949788 1017630 1187235 1221156 1424682 1526445 1582980 2035260 2137023 2374470 2849364 3052890 3561705 4274046 4748940 6105780 7123410 8548092 10685115 14246820 21370230 42740460