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9091940 = 22511213172
BaseRepresentation
bin100010101011…
…101101100100
3122002220210112
4202223231210
54311420230
6522512152
7140165054
oct42535544
918086715
109091940
11514aa00
123065658
131b64460
1412c9564
15be8d95
hex8abb64

9091940 has 108 divisors (see below), whose sum is σ = 24008628. Its totient is φ = 2872320.

The previous prime is 9091939. The next prime is 9091961. The reversal of 9091940 is 491909.

9091940 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 7744 + 9084196 = 88^2 + 3014^2 .

It is a junction number, because it is equal to n+sod(n) for n = 9091897 and 9091906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 534812 + ... + 534828.

Almost surely, 29091940 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 9091940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12004314).

9091940 is an abundant number, since it is smaller than the sum of its proper divisors (14916688).

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

9091940 is a wasteful number, since it uses less digits than its factorization.

9091940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 32.

The square root of 9091940 is about 3015.2843978637. The cubic root of 9091940 is about 208.7142910461.

The spelling of 9091940 in words is "nine million, ninety-one thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 13 17 20 22 26 34 44 52 55 65 68 85 110 121 130 143 170 187 220 221 242 260 286 289 340 374 442 484 572 578 605 715 748 884 935 1105 1156 1210 1430 1445 1573 1870 2057 2210 2420 2431 2860 2890 3146 3179 3740 3757 4114 4420 4862 5780 6292 6358 7514 7865 8228 9724 10285 12155 12716 15028 15730 15895 18785 20570 24310 26741 31460 31790 34969 37570 41140 41327 48620 53482 63580 69938 75140 82654 106964 133705 139876 165308 174845 206635 267410 349690 413270 454597 534820 699380 826540 909194 1818388 2272985 4545970 9091940