Search a number
-
+
2156784930 = 232561392857
BaseRepresentation
bin1000000010001101…
…1110110100100010
312120022101000201100
42000203132310202
513404114104210
6554003215230
7104306240466
oct20043366442
95508330640
102156784930
11a074a3493
12502377516
13284ab0601
1416662c4a6
15c95325c0
hex808ded22

2156784930 has 48 divisors (see below), whose sum is σ = 5699583864. Its totient is φ = 565712640.

The previous prime is 2156784907. The next prime is 2156784937. The reversal of 2156784930 is 394876512.

2156784930 is a `hidden beast` number, since 2 + 1 + 567 + 84 + 9 + 3 + 0 = 666.

2156784930 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1719180369 + 437604561 = 41463^2 + 20919^2 .

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

2156784930 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (2156784937) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190939 + ... + 201918.

It is a 1-persistent number, because it is pandigital, but 2⋅2156784930 = 4313569860 is not.

Almost surely, 22156784930 is an apocalyptic number.

2156784930 is an abundant number, since it is smaller than the sum of its proper divisors (3542798934).

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

2156784930 is a wasteful number, since it uses less digits than its factorization.

2156784930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392931 (or 392928 counting only the distinct ones).

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

The square root of 2156784930 is about 46441.1986279424. The cubic root of 2156784930 is about 1292.0191382910.

The spelling of 2156784930 in words is "two billion, one hundred fifty-six million, seven hundred eighty-four thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 90 122 183 305 366 549 610 915 1098 1830 2745 5490 392857 785714 1178571 1964285 2357142 3535713 3928570 5892855 7071426 11785710 17678565 23964277 35357130 47928554 71892831 119821385 143785662 215678493 239642770 359464155 431356986 718928310 1078392465 2156784930