Search a number
-
+
42166740 = 22357119127
BaseRepresentation
bin1010000011011…
…0100111010100
32221100021220010
42200312213110
541243313430
64103440220
71021261050
oct240664724
987307803
1042166740
1121890550
1212156070
138974b45
145858c60
153a7dcb0
hex28369d4

42166740 has 96 divisors (see below), whose sum is σ = 147216384. Its totient is φ = 8760960.

The previous prime is 42166723. The next prime is 42166753. The reversal of 42166740 is 4766124.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 42166698 and 42166707.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57 + ... + 9183.

It is an arithmetic number, because the mean of its divisors is an integer number (1533504).

Almost surely, 242166740 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 42166740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73608192).

42166740 is an abundant number, since it is smaller than the sum of its proper divisors (105049644).

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

42166740 is a wasteful number, since it uses less digits than its factorization.

42166740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9157 (or 9155 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 42166740 is about 6493.5922261873. The cubic root of 42166740 is about 348.0620512947.

It can be divided in two parts, 421 and 66740, that added together give a triangular number (67161 = T366).

The spelling of 42166740 in words is "forty-two million, one hundred sixty-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 4620 9127 18254 27381 36508 45635 54762 63889 91270 100397 109524 127778 136905 182540 191667 200794 255556 273810 301191 319445 383334 401588 501985 547620 602382 638890 702779 766668 958335 1003970 1204764 1277780 1405558 1505955 1916670 2007940 2108337 2811116 3011910 3513895 3833340 4216674 6023820 7027790 8433348 10541685 14055580 21083370 42166740