Search a number
-
+
9969480 = 2334517181
BaseRepresentation
bin100110000001…
…111101001000
3200202111120000
4212001331020
510023010410
6553403000
7150511353
oct46017510
920674500
109969480
11569a244
123409460
1320b0a01
14147729a
15d1ddc0
hex981f48

9969480 has 160 divisors (see below), whose sum is σ = 35675640. Its totient is φ = 2488320.

The previous prime is 9969457. The next prime is 9969503. The reversal of 9969480 is 849699.

It is an interprime number because it is at equal distance from previous prime (9969457) and next prime (9969503).

It can be written as a sum of positive squares in 4 ways, for example, as 6260004 + 3709476 = 2502^2 + 1926^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 54990 + ... + 55170.

Almost surely, 29969480 is an apocalyptic number.

9969480 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 9969480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17837820).

9969480 is an abundant number, since it is smaller than the sum of its proper divisors (25706160).

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

9969480 is a wasteful number, since it uses less digits than its factorization.

9969480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 9969480 is about 3157.4483368695. The cubic root of 9969480 is about 215.2240678250.

The spelling of 9969480 in words is "nine million, nine hundred sixty-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 81 85 90 102 108 120 135 136 153 162 170 180 181 204 216 255 270 306 324 340 360 362 405 408 459 510 540 543 612 648 680 724 765 810 905 918 1020 1080 1086 1224 1377 1448 1530 1620 1629 1810 1836 2040 2172 2295 2715 2754 3060 3077 3240 3258 3620 3672 4344 4590 4887 5430 5508 6120 6154 6516 6885 7240 8145 9180 9231 9774 10860 11016 12308 13032 13770 14661 15385 16290 18360 18462 19548 21720 24435 24616 27540 27693 29322 30770 32580 36924 39096 46155 48870 55080 55386 58644 61540 65160 73305 73848 83079 92310 97740 110772 117288 123080 138465 146610 166158 184620 195480 221544 249237 276930 293220 332316 369240 415395 498474 553860 586440 664632 830790 996948 1107720 1246185 1661580 1993896 2492370 3323160 4984740 9969480