Search a number
-
+
9980496 = 243517151
BaseRepresentation
bin100110000100…
…101001010000
3200210001200000
4212010221100
510023333441
6553530000
7150555441
oct46045120
920701600
109980496
1156a7549
123413900
1320b5a26
14147b2c8
15d222b6
hex984a50

9980496 has 120 divisors (see below), whose sum is σ = 30873024. Its totient is φ = 3110400.

The previous prime is 9980473. The next prime is 9980519. The reversal of 9980496 is 6940899.

It is an interprime number because it is at equal distance from previous prime (9980473) and next prime (9980519).

It is a super-2 number, since 2×99804962 = 199220600812032, which contains 22 as substring.

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66021 + ... + 66171.

Almost surely, 29980496 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 9980496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15436512).

9980496 is an abundant number, since it is smaller than the sum of its proper divisors (20892528).

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

9980496 is a wasteful number, since it uses less digits than its factorization.

9980496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 173 counting only the distinct ones).

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

The square root of 9980496 is about 3159.1923018392. The cubic root of 9980496 is about 215.3033108615.

The spelling of 9980496 in words is "nine million, nine hundred eighty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 81 102 108 136 144 151 153 162 204 216 243 272 302 306 324 408 432 453 459 486 604 612 648 816 906 918 972 1208 1224 1296 1359 1377 1812 1836 1944 2416 2448 2567 2718 2754 3624 3672 3888 4077 4131 5134 5436 5508 7248 7344 7701 8154 8262 10268 10872 11016 12231 15402 16308 16524 20536 21744 22032 23103 24462 30804 32616 33048 36693 41072 46206 48924 61608 65232 66096 69309 73386 92412 97848 123216 138618 146772 184824 195696 207927 277236 293544 369648 415854 554472 587088 623781 831708 1108944 1247562 1663416 2495124 3326832 4990248 9980496