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30475900 = 225271317197
BaseRepresentation
bin111010001000…
…0011001111100
32010100100002001
41310100121330
530300212100
63005112044
7520020010
oct164203174
963310061
1030475900
1116225aa4
12a258624
1364107a0
144094540
152a1ed6a
hex1d1067c

30475900 has 144 divisors (see below), whose sum is σ = 86619456. Its totient is φ = 9031680.

The previous prime is 30475891. The next prime is 30475903. The reversal of 30475900 is 957403.

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 (30475903) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 154602 + ... + 154798.

It is an arithmetic number, because the mean of its divisors is an integer number (601524).

Almost surely, 230475900 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 30475900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43309728).

30475900 is an abundant number, since it is smaller than the sum of its proper divisors (56143556).

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

30475900 is a wasteful number, since it uses less digits than its factorization.

30475900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 30475900 is about 5520.4981659267. The cubic root of 30475900 is about 312.3576738550.

It can be divided in two parts, 30475 and 900, that added together give a triangular number (31375 = T250).

The spelling of 30475900 in words is "thirty million, four hundred seventy-five thousand, nine hundred".

Divisors: 1 2 4 5 7 10 13 14 17 20 25 26 28 34 35 50 52 65 68 70 85 91 100 119 130 140 170 175 182 197 221 238 260 325 340 350 364 394 425 442 455 476 595 650 700 788 850 884 910 985 1105 1190 1300 1379 1547 1700 1820 1970 2210 2275 2380 2561 2758 2975 3094 3349 3940 4420 4550 4925 5122 5516 5525 5950 6188 6698 6895 7735 9100 9850 10244 11050 11900 12805 13396 13790 15470 16745 17927 19700 22100 23443 25610 27580 30940 33490 34475 35854 38675 43537 46886 51220 64025 66980 68950 71708 77350 83725 87074 89635 93772 117215 128050 137900 154700 167450 174148 179270 217685 234430 256100 304759 334900 358540 435370 448175 468860 586075 609518 870740 896350 1088425 1172150 1219036 1523795 1792700 2176850 2344300 3047590 4353700 6095180 7618975 15237950 30475900