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2420930232 = 233275099437
BaseRepresentation
bin1001000001001100…
…0111011010111000
320020201101222221200
42100103013122320
514424224231412
61040120534200
7113664365430
oct22023073270
96221358850
102420930232
111032608796
12576921360
132c77365c6
1418d74b2c0
15e280c9dc
hex904c76b8

2420930232 has 96 divisors (see below), whose sum is σ = 7508872800. Its totient is φ = 690262272.

The previous prime is 2420930189. The next prime is 2420930249. The reversal of 2420930232 is 2320390242.

2420930232 is a `hidden beast` number, since 2 + 420 + 9 + 3 + 0 + 232 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2420930196 and 2420930205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 251818 + ... + 261254.

It is an arithmetic number, because the mean of its divisors is an integer number (78217425).

Almost surely, 22420930232 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 2420930232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3754436400).

2420930232 is an abundant number, since it is smaller than the sum of its proper divisors (5087942568).

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

2420930232 is a wasteful number, since it uses less digits than its factorization.

2420930232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9965 (or 9958 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 2420930232 is about 49202.9494237896. The cubic root of 2420930232 is about 1342.7466924915.

The spelling of 2420930232 in words is "two billion, four hundred twenty million, nine hundred thirty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 509 1018 1527 2036 3054 3563 4072 4581 6108 7126 9162 9437 10689 12216 14252 18324 18874 21378 28311 28504 32067 36648 37748 42756 56622 64134 66059 75496 84933 85512 113244 128268 132118 169866 198177 226488 256536 264236 339732 396354 528472 594531 679464 792708 1189062 1585416 2378124 4756248 4803433 9606866 14410299 19213732 28820598 33624031 38427464 43230897 57641196 67248062 86461794 100872093 115282392 134496124 172923588 201744186 268992248 302616279 345847176 403488372 605232558 806976744 1210465116 2420930232