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2154980430 = 2335291571753
BaseRepresentation
bin1000000001110010…
…0110010001001110
312120011222100102000
42000130212101032
513403133333210
6553500413130
7104255013531
oct20034462116
95504870360
102154980430
11a06480769
125018471a6
132845cb165
141662bca18
15c92c7ac0
hex8072644e

2154980430 has 128 divisors (see below), whose sum is σ = 5986051200. Its totient is φ = 550996992.

The previous prime is 2154980417. The next prime is 2154980431. The reversal of 2154980430 is 340894512.

2154980430 is a `hidden beast` number, since 2 + 1 + 549 + 80 + 4 + 30 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2154980431) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1228434 + ... + 1230186.

It is an arithmetic number, because the mean of its divisors is an integer number (46766025).

Almost surely, 22154980430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2154980430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2993025600).

2154980430 is an abundant number, since it is smaller than the sum of its proper divisors (3831070770).

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

2154980430 is a wasteful number, since it uses less digits than its factorization.

2154980430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1955 (or 1949 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2154980430 is about 46421.7667694800. The cubic root of 2154980430 is about 1291.6587099799.

The spelling of 2154980430 in words is "two billion, one hundred fifty-four million, nine hundred eighty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 87 90 135 145 157 174 261 270 290 314 435 471 522 783 785 870 942 1305 1413 1566 1570 1753 2355 2610 2826 3506 3915 4239 4553 4710 5259 7065 7830 8478 8765 9106 10518 13659 14130 15777 17530 21195 22765 26295 27318 31554 40977 42390 45530 47331 50837 52590 68295 78885 81954 94662 101674 122931 136590 152511 157770 204885 236655 245862 254185 275221 305022 409770 457533 473310 508370 550442 614655 762555 825663 915066 1229310 1372599 1376105 1525110 1651326 2287665 2476989 2745198 2752210 4128315 4575330 4953978 6862995 7430967 7981409 8256630 12384945 13725990 14861934 15962818 23944227 24769890 37154835 39907045 47888454 71832681 74309670 79814090 119721135 143665362 215498043 239442270 359163405 430996086 718326810 1077490215 2154980430