Search a number
-
+
2470329680 = 245713339331
BaseRepresentation
bin1001001100111110…
…0011110101010000
320101011100202020212
42103033203311100
520024401022210
61045043423252
7115134312230
oct22317436520
96334322225
102470329680
111058489285
1258b384b28
13304a41550
14196129cc0
15e6d19805
hex933e3d50

2470329680 has 80 divisors (see below), whose sum is σ = 7068964224. Its totient is φ = 781816320.

The previous prime is 2470329671. The next prime is 2470329739. The reversal of 2470329680 is 869230742.

It is a happy number.

2470329680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×24703296802 = 12205057455777804800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 162386 + ... + 176945.

Almost surely, 22470329680 is an apocalyptic number.

2470329680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2470329680 is an abundant number, since it is smaller than the sum of its proper divisors (4598634544).

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

2470329680 is a wasteful number, since it uses less digits than its factorization.

2470329680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339364 (or 339358 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The square root of 2470329680 is about 49702.4112091154. The cubic root of 2470329680 is about 1351.8182504888.

The spelling of 2470329680 in words is "two billion, four hundred seventy million, three hundred twenty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 3640 7280 339331 678662 1357324 1696655 2375317 2714648 3393310 4411303 4750634 5429296 6786620 8822606 9501268 11876585 13573240 17645212 19002536 22056515 23753170 27146480 30879121 35290424 38005072 44113030 47506340 61758242 70580848 88226060 95012680 123516484 154395605 176452120 190025360 247032968 308791210 352904240 494065936 617582420 1235164840 2470329680