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5042730 = 2357113759
BaseRepresentation
bin10011001111001000101010
3100111012022210
4103033020222
52242331410
6300025550
760601560
oct23171052
910435283
105042730
112934750
1218322b6
131077384
14953a30
15699220
hex4cf22a

5042730 has 128 divisors (see below), whose sum is σ = 15759360. Its totient is φ = 1002240.

The previous prime is 5042729. The next prime is 5042749. The reversal of 5042730 is 372405.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 5042697 and 5042706.

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 63 ways as a sum of consecutive naturals, for example, 85441 + ... + 85499.

It is an arithmetic number, because the mean of its divisors is an integer number (123120).

Almost surely, 25042730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5042730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7879680).

5042730 is an abundant number, since it is smaller than the sum of its proper divisors (10716630).

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

5042730 is a wasteful number, since it uses less digits than its factorization.

5042730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124.

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 5042730 is about 2245.6023690761. The cubic root of 5042730 is about 171.4833287378.

The spelling of 5042730 in words is "five million, forty-two thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 37 42 55 59 66 70 74 77 105 110 111 118 154 165 177 185 210 222 231 259 295 330 354 370 385 407 413 462 518 555 590 649 770 777 814 826 885 1110 1155 1221 1239 1295 1298 1554 1770 1947 2035 2065 2183 2310 2442 2478 2590 2849 3245 3885 3894 4070 4130 4366 4543 5698 6105 6195 6490 6549 7770 8547 9086 9735 10915 12210 12390 13098 13629 14245 15281 17094 19470 21830 22715 24013 27258 28490 30562 32745 42735 45430 45843 48026 65490 68145 72039 76405 85470 91686 120065 136290 144078 152810 168091 229215 240130 336182 360195 458430 504273 720390 840455 1008546 1680910 2521365 5042730