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9877896 = 2333747139
BaseRepresentation
bin100101101011…
…100110001000
3200120211221000
4211223212020
510012043041
6551415000
7146650350
oct45534610
920524830
109877896
115637456
123384460
13207b112
141451b60
15d01bb6
hex96b988

9877896 has 128 divisors (see below), whose sum is σ = 32256000. Its totient is φ = 2742336.

The previous prime is 9877859. The next prime is 9877897. The reversal of 9877896 is 6987789.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (9877897) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70995 + ... + 71133.

It is an arithmetic number, because the mean of its divisors is an integer number (252000).

Almost surely, 29877896 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 9877896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16128000).

9877896 is an abundant number, since it is smaller than the sum of its proper divisors (22378104).

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

9877896 is a wasteful number, since it uses less digits than its factorization.

9877896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 198 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 54.

The square root of 9877896 is about 3142.9120254948. The cubic root of 9877896 is about 214.5629919156.

The spelling of 9877896 in words is "nine million, eight hundred seventy-seven thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 47 54 56 63 72 84 94 108 126 139 141 168 188 189 216 252 278 282 329 376 378 417 423 504 556 564 658 756 834 846 973 987 1112 1128 1251 1269 1316 1512 1668 1692 1946 1974 2502 2538 2632 2919 2961 3336 3384 3753 3892 3948 5004 5076 5838 5922 6533 7506 7784 7896 8757 8883 10008 10152 11676 11844 13066 15012 17514 17766 19599 23352 23688 26132 26271 30024 35028 35532 39198 45731 52264 52542 58797 70056 71064 78396 91462 105084 117594 137193 156792 176391 182924 210168 235188 274386 352782 365848 411579 470376 548772 705564 823158 1097544 1234737 1411128 1646316 2469474 3292632 4938948 9877896