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30686320 = 2457371481
BaseRepresentation
bin111010100001…
…1110001110000
32010202000201101
41311003301300
530323430240
63013414144
7521554330
oct165036160
963660641
1030686320
111635a0a5
12a33a354
1364854b2
14410b0c0
152a6239a
hex1d43c70

30686320 has 80 divisors (see below), whose sum is σ = 83798208. Its totient is φ = 10229760.

The previous prime is 30686291. The next prime is 30686323. The reversal of 30686320 is 2368603.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30686323) 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, 19980 + ... + 21460.

Almost surely, 230686320 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 30686320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41899104).

30686320 is an abundant number, since it is smaller than the sum of its proper divisors (53111888).

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

30686320 is a wasteful number, since it uses less digits than its factorization.

30686320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1538 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

The square root of 30686320 is about 5539.5234452072. The cubic root of 30686320 is about 313.0749139347.

30686320 divided by its sum of digits (28) gives a triangular number (1095940 = T1480).

The spelling of 30686320 in words is "thirty million, six hundred eighty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 37 40 56 70 74 80 112 140 148 185 259 280 296 370 518 560 592 740 1036 1295 1480 1481 2072 2590 2960 2962 4144 5180 5924 7405 10360 10367 11848 14810 20720 20734 23696 29620 41468 51835 54797 59240 82936 103670 109594 118480 165872 207340 219188 273985 383579 414680 438376 547970 767158 829360 876752 1095940 1534316 1917895 2191880 3068632 3835790 4383760 6137264 7671580 15343160 30686320