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30460245420 = 223511109742071
BaseRepresentation
bin11100010111100100…
…100111010110101100
32220121211022210101210
4130113210213112230
5444340310323140
621554312434420
72125555546143
oct342744472654
986554283353
1030460245420
1111a11018250
125aa10a8a10
132b4583b277
14168d61275a
15bd423cd80
hex7179275ac

30460245420 has 96 divisors (see below), whose sum is σ = 93129232896. Its totient is φ = 7377395200.

The previous prime is 30460245359. The next prime is 30460245427. The reversal of 30460245420 is 2454206403.

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

It is not an unprimeable number, because it can be changed into a prime (30460245427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 702985 + ... + 745055.

It is an arithmetic number, because the mean of its divisors is an integer number (970096176).

Almost surely, 230460245420 is an apocalyptic number.

30460245420 is a gapful number since it is divisible by the number (30) 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 30460245420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46564616448).

30460245420 is an abundant number, since it is smaller than the sum of its proper divisors (62668987476).

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

30460245420 is a wasteful number, since it uses less digits than its factorization.

30460245420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43191 (or 43189 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The spelling of 30460245420 in words is "thirty billion, four hundred sixty million, two hundred forty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1097 2194 3291 4388 5485 6582 10970 12067 13164 16455 21940 24134 32910 36201 42071 48268 60335 65820 72402 84142 120670 126213 144804 168284 181005 210355 241340 252426 362010 420710 462781 504852 631065 724020 841420 925562 1262130 1388343 1851124 2313905 2524260 2776686 4627810 5553372 6941715 9255620 13883430 27766860 46151887 92303774 138455661 184607548 230759435 276911322 461518870 507670757 553822644 692278305 923037740 1015341514 1384556610 1523012271 2030683028 2538353785 2769113220 3046024542 5076707570 6092049084 7615061355 10153415140 15230122710 30460245420