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9969414 = 2371319312
BaseRepresentation
bin100110000001…
…111100000110
3200202111110120
4212001330012
510023010124
6553402410
7150511230
oct46017406
920674416
109969414
11569a194
123409406
1320b0980
141477250
15d1dd79
hex981f06

9969414 has 96 divisors (see below), whose sum is σ = 26691840. Its totient is φ = 2410560.

The previous prime is 9969397. The next prime is 9969431. The reversal of 9969414 is 4149699.

It is an interprime number because it is at equal distance from previous prime (9969397) and next prime (9969431).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 321579 + ... + 321609.

It is an arithmetic number, because the mean of its divisors is an integer number (278040).

Almost surely, 29969414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9969414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13345920).

9969414 is an abundant number, since it is smaller than the sum of its proper divisors (16722426).

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

9969414 is a wasteful number, since it uses less digits than its factorization.

9969414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 75 counting only the distinct ones).

The product of its digits is 69984, while the sum is 42.

The square root of 9969414 is about 3157.4378853748. The cubic root of 9969414 is about 215.2235928815.

The spelling of 9969414 in words is "nine million, nine hundred sixty-nine thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 13 14 19 21 26 31 38 39 42 57 62 78 91 93 114 133 182 186 217 247 266 273 399 403 434 494 546 589 651 741 798 806 961 1178 1209 1302 1482 1729 1767 1922 2418 2821 2883 3458 3534 4123 5187 5642 5766 6727 7657 8246 8463 10374 12369 12493 13454 15314 16926 18259 20181 22971 24738 24986 36518 37479 40362 45942 53599 54777 74958 87451 107198 109554 127813 160797 174902 237367 255626 262353 321594 383439 474734 524706 712101 766878 1424202 1661569 3323138 4984707 9969414