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9907968 = 28371997
BaseRepresentation
bin100101110010…
…111100000000
3200122101011210
4211302330000
510014023333
6552210120
7150134130
oct45627400
920571153
109907968
115658004
123399940
13208ba05
14145cac0
15d0aa63
hex972f00

9907968 has 144 divisors (see below), whose sum is σ = 32049920. Its totient is φ = 2654208.

The previous prime is 9907951. The next prime is 9907993. The reversal of 9907968 is 8697099.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102096 + ... + 102192.

Almost surely, 29907968 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 9907968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16024960).

9907968 is an abundant number, since it is smaller than the sum of its proper divisors (22141952).

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

9907968 is a wasteful number, since it uses less digits than its factorization.

9907968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 48.

The square root of 9907968 is about 3147.6924881570. The cubic root of 9907968 is about 214.7805079254.

The spelling of 9907968 in words is "nine million, nine hundred seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 56 57 64 76 84 96 97 112 114 128 133 152 168 192 194 224 228 256 266 291 304 336 384 388 399 448 456 532 582 608 672 679 768 776 798 896 912 1064 1164 1216 1344 1358 1552 1596 1792 1824 1843 2037 2128 2328 2432 2688 2716 3104 3192 3648 3686 4074 4256 4656 4864 5376 5432 5529 6208 6384 7296 7372 8148 8512 9312 10864 11058 12416 12768 12901 14592 14744 16296 17024 18624 21728 22116 24832 25536 25802 29488 32592 34048 37248 38703 43456 44232 51072 51604 58976 65184 74496 77406 86912 88464 102144 103208 117952 130368 154812 173824 176928 206416 235904 260736 309624 353856 412832 471808 521472 619248 707712 825664 1238496 1415424 1651328 2476992 3302656 4953984 9907968