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10733940 = 22325721217
BaseRepresentation
bin101000111100…
…100101110100
3202012100012100
4220330211310
510221441230
61022022100
7160144200
oct50744564
922170170
1010733940
116071628
123717930
1322ba959
1415d5b00
15e20660
hexa3c974

10733940 has 108 divisors (see below), whose sum is σ = 37906596. Its totient is φ = 2451456.

The previous prime is 10733873. The next prime is 10733963. The reversal of 10733940 is 4933701.

10733940 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 can be written as a sum of positive squares in 2 ways, for example, as 3732624 + 7001316 = 1932^2 + 2646^2 .

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, 8212 + ... + 9428.

It is an arithmetic number, because the mean of its divisors is an integer number (350987).

Almost surely, 210733940 is an apocalyptic number.

10733940 is a gapful number since it is divisible by the number (10) 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 10733940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18953298).

10733940 is an abundant number, since it is smaller than the sum of its proper divisors (27172656).

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

10733940 is a wasteful number, since it uses less digits than its factorization.

10733940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 10733940 is about 3276.2692197071. The cubic root of 10733940 is about 220.5902880436.

The spelling of 10733940 in words is "ten million, seven hundred thirty-three thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1217 1260 1470 1764 2205 2434 2940 3651 4410 4868 6085 7302 8519 8820 10953 12170 14604 17038 18255 21906 24340 25557 34076 36510 42595 43812 51114 54765 59633 73020 76671 85190 102228 109530 119266 127785 153342 170380 178899 219060 238532 255570 298165 306684 357798 383355 511140 536697 596330 715596 766710 894495 1073394 1192660 1533420 1788990 2146788 2683485 3577980 5366970 10733940