Search a number
-
+
1351820379 = 3721319311201
BaseRepresentation
bin101000010010011…
…0010010001011011
310111012200120221110
41100210302101123
510232031223004
6342050111403
745333166200
oct12044622133
93435616843
101351820379
11634081728
1231887b563
131870acb20
14cb76dca7
157da29589
hex5093245b

1351820379 has 96 divisors (see below), whose sum is σ = 2455541760. Its totient is φ = 653184000.

The previous prime is 1351820363. The next prime is 1351820383. The reversal of 1351820379 is 9730281531.

It is not a de Polignac number, because 1351820379 - 24 = 1351820363 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (1351820339) 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 95 ways as a sum of consecutive naturals, for example, 1124979 + ... + 1126179.

It is an arithmetic number, because the mean of its divisors is an integer number (25578560).

Almost surely, 21351820379 is an apocalyptic number.

1351820379 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

1351820379 is a deficient number, since it is larger than the sum of its proper divisors (1103721381).

1351820379 is a wasteful number, since it uses less digits than its factorization.

1351820379 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 39.

The square root of 1351820379 is about 36767.1100169703. The cubic root of 1351820379 is about 1105.7059919250.

The spelling of 1351820379 in words is "one billion, three hundred fifty-one million, eight hundred twenty thousand, three hundred seventy-nine".

Divisors: 1 3 7 13 19 21 31 39 49 57 91 93 133 147 217 247 273 399 403 589 637 651 741 931 1201 1209 1519 1729 1767 1911 2793 2821 3603 4123 4557 5187 7657 8407 8463 12103 12369 15613 19747 22819 22971 25221 28861 36309 37231 46839 53599 58849 59241 68457 86583 109291 111693 159733 160797 176547 260617 296647 327873 375193 479199 484003 707389 765037 781851 889941 1118131 1125579 1452009 1824319 2076529 2122167 2295111 3354393 3388021 4951723 5472957 6229587 9196057 10164063 14535703 14855169 23716147 27588171 34662061 43607109 64372399 71148441 103986183 193117197 450606793 1351820379