Search a number
-
+
9950040 = 233453783
BaseRepresentation
bin100101111101…
…001101011000
3200201111220000
4211331031120
510021400130
6553133000
7150400602
oct45751530
920644800
109950040
115686681
1233ba160
1320a4bc9
141470172
15d18260
hex97d358

9950040 has 160 divisors (see below), whose sum is σ = 34760880. Its totient is φ = 2550528.

The previous prime is 9950029. The next prime is 9950047. The reversal of 9950040 is 400599.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 9949986 and 9950013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9950047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 119839 + ... + 119921.

Almost surely, 29950040 is an apocalyptic number.

9950040 is a gapful number since it is divisible by the number (90) 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 9950040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17380440).

9950040 is an abundant number, since it is smaller than the sum of its proper divisors (24810840).

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

9950040 is a wasteful number, since it uses less digits than its factorization.

9950040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 9950040 is about 3154.3683995374. The cubic root of 9950040 is about 215.0840846519.

The spelling of 9950040 in words is "nine million, nine hundred fifty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 37 40 45 54 60 72 74 81 83 90 108 111 120 135 148 162 166 180 185 216 222 249 270 296 324 332 333 360 370 405 415 444 498 540 555 648 664 666 740 747 810 830 888 996 999 1080 1110 1245 1332 1480 1494 1620 1660 1665 1992 1998 2220 2241 2490 2664 2988 2997 3071 3240 3320 3330 3735 3996 4440 4482 4980 4995 5976 5994 6142 6660 6723 7470 7992 8964 9213 9960 9990 11205 11988 12284 13320 13446 14940 14985 15355 17928 18426 19980 22410 23976 24568 26892 27639 29880 29970 30710 33615 36852 39960 44820 46065 53784 55278 59940 61420 67230 73704 82917 89640 92130 110556 119880 122840 134460 138195 165834 184260 221112 248751 268920 276390 331668 368520 414585 497502 552780 663336 829170 995004 1105560 1243755 1658340 1990008 2487510 3316680 4975020 9950040