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30409890 = 23572137151
BaseRepresentation
bin111010000000…
…0010010100010
32010012222112020
41310000102202
530241104030
63003442310
7516323400
oct164002242
963188466
1030409890
1116190445
12a226396
1363b9724
144078470
152a0a510
hex1d004a2

30409890 has 96 divisors (see below), whose sum is σ = 86085504. Its totient is φ = 6854400.

The previous prime is 30409879. The next prime is 30409909. The reversal of 30409890 is 9890403.

It is a super-2 number, since 2×304098902 = 1849522819624200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 201315 + ... + 201465.

It is an arithmetic number, because the mean of its divisors is an integer number (896724).

Almost surely, 230409890 is an apocalyptic number.

30409890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30409890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43042752).

30409890 is an abundant number, since it is smaller than the sum of its proper divisors (55675614).

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

30409890 is a wasteful number, since it uses less digits than its factorization.

30409890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 30409890 is about 5514.5162979177. The cubic root of 30409890 is about 312.1319913262.

The spelling of 30409890 in words is "thirty million, four hundred nine thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 137 147 151 210 245 274 294 302 411 453 490 685 735 755 822 906 959 1057 1370 1470 1510 1918 2055 2114 2265 2877 3171 4110 4530 4795 5285 5754 6342 6713 7399 9590 10570 13426 14385 14798 15855 20139 20687 22197 28770 31710 33565 36995 40278 41374 44394 62061 67130 73990 100695 103435 110985 124122 144809 201390 206870 221970 289618 310305 434427 620610 724045 868854 1013663 1448090 2027326 2172135 3040989 4344270 5068315 6081978 10136630 15204945 30409890