Search a number
-
+
1970276385 = 357112959997
BaseRepresentation
bin111010101110000…
…0000100000100001
312002022102102002110
41311130000200201
513013342321020
6523301505533
766553034010
oct16534004041
95068372073
101970276385
119211958a0
1246ba122a9
1325526b11c
1414995ca77
15b7e908e0
hex75700821

1970276385 has 128 divisors (see below), whose sum is σ = 4138905600. Its totient is φ = 776401920.

The previous prime is 1970276333. The next prime is 1970276389. The reversal of 1970276385 is 5836720791.

It is not a de Polignac number, because 1970276385 - 27 = 1970276257 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1970276389) 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 127 ways as a sum of consecutive naturals, for example, 1975707 + ... + 1976703.

It is an arithmetic number, because the mean of its divisors is an integer number (32335200).

Almost surely, 21970276385 is an apocalyptic number.

1970276385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1970276385 is an abundant number, since it is smaller than the sum of its proper divisors (2168629215).

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

1970276385 is a wasteful number, since it uses less digits than its factorization.

1970276385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111.

The product of its (nonzero) digits is 635040, while the sum is 48.

The square root of 1970276385 is about 44387.7954510021. The cubic root of 1970276385 is about 1253.6483036782.

The spelling of 1970276385 in words is "one billion, nine hundred seventy million, two hundred seventy-six thousand, three hundred eighty-five".

Divisors: 1 3 5 7 11 15 21 29 33 35 55 59 77 87 105 145 165 177 203 231 295 319 385 413 435 609 649 885 957 997 1015 1155 1239 1595 1711 1947 2065 2233 2991 3045 3245 4543 4785 4985 5133 6195 6699 6979 8555 9735 10967 11165 11977 13629 14955 18821 20937 22715 25665 28913 32901 33495 34895 35931 54835 56463 58823 59885 68145 76769 86739 94105 104685 131747 144565 164505 176469 179655 202391 230307 282315 294115 318043 383845 395241 411761 433695 607173 647053 658735 882345 954129 1011955 1151535 1235283 1590215 1705867 1941159 1976205 2058805 2226301 3035865 3235265 4529371 4770645 5117601 6176415 6678903 8529335 9705795 11131505 11941069 13588113 18764537 22646855 25588005 33394515 35823207 56293611 59705345 67940565 93822685 131351759 179116035 281468055 394055277 656758795 1970276385