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19330680 = 2335413929
BaseRepresentation
bin100100110111…
…1011001111000
31100101002201010
41021233121320
514422040210
61530153520
7323210445
oct111573170
940332633
1019330680
11aa03476
1265828a0
13400a895
1427d29cc
151a6c920
hex126f678

19330680 has 64 divisors (see below), whose sum is σ = 59421600. Its totient is φ = 5027840.

The previous prime is 19330679. The next prime is 19330681. The reversal of 19330680 is 8603391.

It is an interprime number because it is at equal distance from previous prime (19330679) and next prime (19330681).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19330681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2956 + ... + 6884.

Almost surely, 219330680 is an apocalyptic number.

19330680 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 19330680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29710800).

19330680 is an abundant number, since it is smaller than the sum of its proper divisors (40090920).

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

19330680 is a wasteful number, since it uses less digits than its factorization.

19330680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3984 (or 3980 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 19330680 is about 4396.6669193834. Note that the first 3 decimals coincide. The cubic root of 19330680 is about 268.3793173340.

The spelling of 19330680 in words is "nineteen million, three hundred thirty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1640 2460 3929 4920 7858 11787 15716 19645 23574 31432 39290 47148 58935 78580 94296 117870 157160 161089 235740 322178 471480 483267 644356 805445 966534 1288712 1610890 1933068 2416335 3221780 3866136 4832670 6443560 9665340 19330680