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2148659730 = 233576118637
BaseRepresentation
bin1000000000010001…
…1111001000010010
312112202002020001000
42000010133020102
513400024102410
6553113122430
7104150210040
oct20004371022
95482066030
102148659730
11a02953948
124bb6b9416
132831c71b9
14165515390
15c8979dc0
hex8011f212

2148659730 has 128 divisors (see below), whose sum is σ = 6656002560. Its totient is φ = 483045120.

The previous prime is 2148659729. The next prime is 2148659743. The reversal of 2148659730 is 379568412.

2148659730 is a `hidden beast` number, since 21 + 4 + 8 + 6 + 597 + 30 = 666.

2148659730 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

2148659730 is strictly pandigital in base 10.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105972 + ... + 124608.

It is an arithmetic number, because the mean of its divisors is an integer number (52000020).

It is a 1-persistent number, because it is pandigital, but 2⋅2148659730 = 4297319460 is not.

Almost surely, 22148659730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2148659730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3328001280).

2148659730 is an abundant number, since it is smaller than the sum of its proper divisors (4507342830).

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

2148659730 is a wasteful number, since it uses less digits than its factorization.

2148659730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18721 (or 18715 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 2148659730 is about 46353.6377213267. The cubic root of 2148659730 is about 1290.3946331837.

The spelling of 2148659730 in words is "two billion, one hundred forty-eight million, six hundred fifty-nine thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 61 63 70 90 105 122 126 135 183 189 210 270 305 315 366 378 427 549 610 630 854 915 945 1098 1281 1647 1830 1890 2135 2562 2745 3294 3843 4270 5490 6405 7686 8235 11529 12810 16470 18637 19215 23058 37274 38430 55911 57645 93185 111822 115290 130459 167733 186370 260918 279555 335466 391377 503199 559110 652295 782754 838665 1006398 1136857 1174131 1304590 1677330 1956885 2273714 2348262 2515995 3410571 3522393 3913770 5031990 5684285 5870655 6821142 7044786 7957999 10231713 11368570 11741310 15915998 17052855 17611965 20463426 23873997 30695139 34105710 35223930 39789995 47747994 51158565 61390278 71621991 79579990 102317130 119369985 143243982 153475695 214865973 238739970 306951390 358109955 429731946 716219910 1074329865 2148659730