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2135429670 = 2351117222391
BaseRepresentation
bin111111101001000…
…0001001000100110
312111211012001210210
41333102001020212
513333132222140
6551521400250
7103626565323
oct17722011046
95454161723
102135429670
119a6437a10
124b7199086
1328054436a
1416386db4a
15c7714d80
hex7f481226

2135429670 has 96 divisors (see below), whose sum is σ = 5939433216. Its totient is φ = 487206400.

The previous prime is 2135429663. The next prime is 2135429671. The reversal of 2135429670 is 769245312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2135429671) 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, 84175 + ... + 106565.

It is an arithmetic number, because the mean of its divisors is an integer number (61869096).

Almost surely, 22135429670 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2135429670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2969716608).

2135429670 is an abundant number, since it is smaller than the sum of its proper divisors (3804003546).

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

2135429670 is a wasteful number, since it uses less digits than its factorization.

2135429670 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22446 (or 22429 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 2135429670 is about 46210.7094730215. The cubic root of 2135429670 is about 1287.7407061818.

The spelling of 2135429670 in words is "two billion, one hundred thirty-five million, four hundred twenty-nine thousand, six hundred seventy".

Divisors: 1 2 3 5 6 10 11 15 17 22 30 33 34 51 55 66 85 102 110 165 170 187 255 289 330 374 510 561 578 867 935 1122 1445 1734 1870 2805 2890 3179 4335 5610 6358 8670 9537 15895 19074 22391 31790 44782 47685 67173 95370 111955 134346 223910 246301 335865 380647 492602 671730 738903 761294 1141941 1231505 1477806 1903235 2283882 2463010 3694515 3806470 4187117 5709705 6470999 7389030 8374234 11419410 12561351 12941998 19412997 20935585 25122702 32354995 38825994 41871170 62806755 64709990 71180989 97064985 125613510 142361978 194129970 213542967 355904945 427085934 711809890 1067714835 2135429670