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11030640 = 2435194159
BaseRepresentation
bin101010000101…
…000001110000
3202202102012020
4222011001300
510310440030
61032231440
7162521205
oct52050160
922672166
1011030640
116254535
12383b580
132392a0a
141671cac
15e7d510
hexa85070

11030640 has 160 divisors (see below), whose sum is σ = 37497600. Its totient is φ = 2672640.

The previous prime is 11030633. The next prime is 11030641. The reversal of 11030640 is 4603011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11030641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 186931 + ... + 186989.

It is an arithmetic number, because the mean of its divisors is an integer number (234360).

Almost surely, 211030640 is an apocalyptic number.

11030640 is a gapful number since it is divisible by the number (10) 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 11030640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18748800).

11030640 is an abundant number, since it is smaller than the sum of its proper divisors (26466960).

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

11030640 is a wasteful number, since it uses less digits than its factorization.

11030640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 11030640 is about 3321.2407320157. The cubic root of 11030640 is about 222.6043108090.

Adding to 11030640 its reverse (4603011), we get a palindrome (15633651).

The spelling of 11030640 in words is "eleven million, thirty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 41 48 57 59 60 76 80 82 95 114 118 120 123 152 164 177 190 205 228 236 240 246 285 295 304 328 354 380 410 456 472 492 570 590 615 656 708 760 779 820 885 912 944 984 1121 1140 1180 1230 1416 1520 1558 1640 1770 1968 2242 2280 2337 2360 2419 2460 2832 3116 3280 3363 3540 3895 4484 4560 4674 4720 4838 4920 5605 6232 6726 7080 7257 7790 8968 9348 9676 9840 11210 11685 12095 12464 13452 14160 14514 15580 16815 17936 18696 19352 22420 23370 24190 26904 29028 31160 33630 36285 37392 38704 44840 45961 46740 48380 53808 58056 62320 67260 72570 89680 91922 93480 96760 116112 134520 137883 145140 183844 186960 193520 229805 269040 275766 290280 367688 459610 551532 580560 689415 735376 919220 1103064 1378830 1838440 2206128 2757660 3676880 5515320 11030640