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2151350740 = 2257114729723
BaseRepresentation
bin1000000000111011…
…0000000111010100
312112221010221102001
42000032300013110
513401221210430
6553250525044
7104212115410
oct20016600724
95487127361
102151350740
11a04421720
12500596784
1328392a006
14165a15d40
15c8d0c3ca
hex803b01d4

2151350740 has 96 divisors (see below), whose sum is σ = 5752664064. Its totient is φ = 656261760.

The previous prime is 2151350737. The next prime is 2151350743. The reversal of 2151350740 is 470531512.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2151350737) and next prime (2151350743).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2151350699 and 2151350708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2151350743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57519 + ... + 87241.

It is an arithmetic number, because the mean of its divisors is an integer number (59923584).

Almost surely, 22151350740 is an apocalyptic number.

2151350740 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2151350740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2876332032).

2151350740 is an abundant number, since it is smaller than the sum of its proper divisors (3601313324).

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

2151350740 is a wasteful number, since it uses less digits than its factorization.

2151350740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29797 (or 29795 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 28.

The square root of 2151350740 is about 46382.6555945215. The cubic root of 2151350740 is about 1290.9331109096.

The spelling of 2151350740 in words is "two billion, one hundred fifty-one million, three hundred fifty thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 47 55 70 77 94 110 140 154 188 220 235 308 329 385 470 517 658 770 940 1034 1316 1540 1645 2068 2585 3290 3619 5170 6580 7238 10340 14476 18095 29723 36190 59446 72380 118892 148615 208061 297230 326953 416122 594460 653906 832244 1040305 1307812 1396981 1634765 2080610 2288671 2793962 3269530 4161220 4577342 5587924 6539060 6984905 9154684 9778867 11443355 13969810 15366791 19557734 22886710 27939620 30733582 39115468 45773420 48894335 61467164 76833955 97788670 107567537 153667910 195577340 215135074 307335820 430270148 537837685 1075675370 2151350740