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9996660 = 22325193779
BaseRepresentation
bin100110001000…
…100101110100
3200210212211200
4212020211310
510024343120
6554132500
7150653532
oct46104564
920725750
109996660
115708703
123421130
1320c01ab
141483152
15d26e90
hex988974

9996660 has 144 divisors (see below), whose sum is σ = 33196800. Its totient is φ = 2426112.

The previous prime is 9996659. The next prime is 9996667. The reversal of 9996660 is 666999.

It is a super-2 number, since 2×99966602 = 199866422311200, which contains 22 as substring.

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

It is a nialpdrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9996667) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 126501 + ... + 126579.

Almost surely, 29996660 is an apocalyptic number.

9996660 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 9996660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16598400).

9996660 is an abundant number, since it is smaller than the sum of its proper divisors (23200140).

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

9996660 is a wasteful number, since it uses less digits than its factorization.

9996660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 9996660 is about 3161.7495156954. The cubic root of 9996660 is about 215.4194802927.

The spelling of 9996660 in words is "nine million, nine hundred ninety-six thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 37 38 45 57 60 74 76 79 90 95 111 114 148 158 171 180 185 190 222 228 237 285 316 333 342 370 380 395 444 474 555 570 666 684 703 711 740 790 855 948 1110 1140 1185 1332 1406 1422 1501 1580 1665 1710 2109 2220 2370 2812 2844 2923 3002 3330 3420 3515 3555 4218 4503 4740 5846 6004 6327 6660 7030 7110 7505 8436 8769 9006 10545 11692 12654 13509 14060 14220 14615 15010 17538 18012 21090 22515 25308 26307 27018 29230 30020 31635 35076 42180 43845 45030 52614 54036 55537 58460 63270 67545 87690 90060 105228 111074 126540 131535 135090 166611 175380 222148 263070 270180 277685 333222 499833 526140 555370 666444 833055 999666 1110740 1666110 1999332 2499165 3332220 4998330 9996660