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9993780 = 2234531199
BaseRepresentation
bin100110000111…
…111000110100
3200210201220000
4212013320310
510024300110
6554111300
7150642246
oct46077064
920721800
109993780
115706525
12341b530
1320bbaa4
141482096
15d261c0
hex987e34

9993780 has 120 divisors (see below), whose sum is σ = 32524800. Its totient is φ = 2566080.

The previous prime is 9993769. The next prime is 9993793. The reversal of 9993780 is 873999.

It is a happy number.

9993780 is nontrivially palindromic in base 8.

9993780 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 Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 50121 + ... + 50319.

It is an arithmetic number, because the mean of its divisors is an integer number (271040).

Almost surely, 29993780 is an apocalyptic number.

9993780 is a gapful number since it is divisible by the number (90) 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 9993780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16262400).

9993780 is an abundant number, since it is smaller than the sum of its proper divisors (22531020).

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

9993780 is a wasteful number, since it uses less digits than its factorization.

9993780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 9993780 is about 3161.2940388392. The cubic root of 9993780 is about 215.3987911261.

The spelling of 9993780 in words is "nine million, nine hundred ninety-three thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 31 36 45 54 60 62 81 90 93 108 124 135 155 162 180 186 199 270 279 310 324 372 398 405 465 540 558 597 620 796 810 837 930 995 1116 1194 1395 1620 1674 1791 1860 1990 2388 2511 2790 2985 3348 3582 3980 4185 5022 5373 5580 5970 6169 7164 8370 8955 10044 10746 11940 12338 12555 16119 16740 17910 18507 21492 24676 25110 26865 30845 32238 35820 37014 50220 53730 55521 61690 64476 74028 80595 92535 107460 111042 123380 161190 166563 185070 222084 277605 322380 333126 370140 499689 555210 666252 832815 999378 1110420 1665630 1998756 2498445 3331260 4996890 9993780