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9991920 = 2435173179
BaseRepresentation
bin100110000111…
…011011110000
3200210122100010
4212013123300
510024220140
6554054520
7150633651
oct46073360
920718303
109991920
115705094
12341a440
1320baca3
141481528
15d25880
hex9876f0

9991920 has 160 divisors (see below), whose sum is σ = 34283520. Its totient is φ = 2396160.

The previous prime is 9991879. The next prime is 9991939. The reversal of 9991920 is 291999.

It is a happy number.

9991920 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 31612-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126441 + ... + 126519.

It is an arithmetic number, because the mean of its divisors is an integer number (214272).

Almost surely, 29991920 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 9991920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17141760).

9991920 is an abundant number, since it is smaller than the sum of its proper divisors (24291600).

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

9991920 is a wasteful number, since it uses less digits than its factorization.

9991920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 13122, while the sum is 39.

The square root of 9991920 is about 3160.9998418222. Note that the first 3 decimals coincide. The cubic root of 9991920 is about 215.3854272602.

The spelling of 9991920 in words is "nine million, nine hundred ninety-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 31 34 40 48 51 60 62 68 79 80 85 93 102 120 124 136 155 158 170 186 204 237 240 248 255 272 310 316 340 372 395 408 465 474 496 510 527 620 632 680 744 790 816 930 948 1020 1054 1185 1240 1264 1343 1360 1488 1580 1581 1860 1896 2040 2108 2370 2449 2480 2635 2686 3160 3162 3720 3792 4029 4080 4216 4740 4898 5270 5372 6320 6324 6715 7347 7440 7905 8058 8432 9480 9796 10540 10744 12245 12648 13430 14694 15810 16116 18960 19592 20145 21080 21488 24490 25296 26860 29388 31620 32232 36735 39184 40290 41633 42160 48980 53720 58776 63240 64464 73470 80580 83266 97960 107440 117552 124899 126480 146940 161160 166532 195920 208165 249798 293880 322320 333064 416330 499596 587760 624495 666128 832660 999192 1248990 1665320 1998384 2497980 3330640 4995960 9991920