Search a number
-
+
1976208234 = 23711132931123
BaseRepresentation
bin111010111001010…
…1000101101101010
312002201120210001120
41311302220231222
513021402130414
6524033000110
766654331020
oct16562505552
95081523046
101976208234
11924577550
124719b3036
132565670b0
1414a664710
15b87632a9
hex75ca8b6a

1976208234 has 128 divisors (see below), whose sum is σ = 5329594368. Its totient is φ = 471778560.

The previous prime is 1976208133. The next prime is 1976208263. The reversal of 1976208234 is 4328026791.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1759197 + ... + 1760319.

It is an arithmetic number, because the mean of its divisors is an integer number (41637456).

Almost surely, 21976208234 is an apocalyptic number.

1976208234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1976208234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2664797184).

1976208234 is an abundant number, since it is smaller than the sum of its proper divisors (3353386134).

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

1976208234 is a wasteful number, since it uses less digits than its factorization.

1976208234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452.

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 1976208234 is about 44454.5637027291. The cubic root of 1976208234 is about 1254.9051496810.

The spelling of 1976208234 in words is "one billion, nine hundred seventy-six million, two hundred eight thousand, two hundred thirty-four".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 293 429 462 546 586 858 879 1001 1123 1758 2002 2051 2246 3003 3223 3369 3809 4102 6006 6153 6446 6738 7618 7861 9669 11427 12306 12353 14599 15722 19338 22561 22854 23583 24706 26663 29198 37059 41899 43797 45122 47166 53326 67683 74118 79989 83798 86471 87594 102193 125697 135366 159978 160589 172942 204386 251394 259413 293293 306579 321178 329039 481767 518826 586586 613158 658078 879879 963534 987117 1124123 1759758 1974234 2248246 2303273 3372369 3619429 4277507 4606546 6744738 6909819 7238858 8555014 10858287 12832521 13819638 21716574 25336003 25665042 29942549 47052577 50672006 59885098 76008009 89827647 94105154 141157731 152016018 179655294 282315462 329368039 658736078 988104117 1976208234