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1431680796 = 2232713233617
BaseRepresentation
bin101010101010101…
…1011011100011100
310200202221220211200
41111111123130130
510413002241141
6354021515500
750323041330
oct12525333434
93622856750
101431680796
11675167a77
1233b572b90
1319a7c1800
14d81db7c0
1585a51ab6
hex5555b71c

1431680796 has 108 divisors (see below), whose sum is σ = 4478724432. Its totient is φ = 377574912.

The previous prime is 1431680773. The next prime is 1431680819. The reversal of 1431680796 is 6970861341.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1431680773) and next prime (1431680819).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 25780 + ... + 59396.

Almost surely, 21431680796 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1431680796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2239362216).

1431680796 is an abundant number, since it is smaller than the sum of its proper divisors (3047043636).

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

1431680796 is a wasteful number, since it uses less digits than its factorization.

1431680796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33660 (or 33642 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1431680796 is about 37837.5580078842. The cubic root of 1431680796 is about 1127.0644026385.

The spelling of 1431680796 in words is "one billion, four hundred thirty-one million, six hundred eighty thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 169 182 234 252 273 338 364 468 507 546 676 819 1014 1092 1183 1521 1638 2028 2366 3042 3276 3549 4732 6084 7098 10647 14196 21294 33617 42588 67234 100851 134468 201702 235319 302553 403404 437021 470638 605106 705957 874042 941276 1210212 1311063 1411914 1748084 2117871 2622126 2823828 3059147 3933189 4235742 5244252 5681273 6118294 7866378 8471484 9177441 11362546 12236588 15732756 17043819 18354882 22725092 27532323 34087638 36709764 39768911 51131457 55064646 68175276 79537822 102262914 110129292 119306733 159075644 204525828 238613466 357920199 477226932 715840398 1431680796