Search a number
-
+
109321407 = 34131731197
BaseRepresentation
bin1101000010000…
…01110010111111
321121201002210000
412201001302333
5210441241112
614503045343
72465134206
oct641016277
9247632700
10109321407
1156788878
1230740853
1319858530
141073a23d
1598e67dc
hex6841cbf

109321407 has 80 divisors (see below), whose sum is σ = 193197312. Its totient is φ = 60963840.

The previous prime is 109321397. The next prime is 109321409. The reversal of 109321407 is 704123901.

It is not a de Polignac number, because 109321407 - 220 = 108272831 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109321409) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 554833 + ... + 555029.

Almost surely, 2109321407 is an apocalyptic number.

109321407 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

109321407 is a deficient number, since it is larger than the sum of its proper divisors (83875905).

109321407 is a wasteful number, since it uses less digits than its factorization.

109321407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 109321407 is about 10455.6877822552. The cubic root of 109321407 is about 478.1546726683.

It can be divided in two parts, 1093 and 21407, that added together give a square (22500 = 1502).

The spelling of 109321407 in words is "one hundred nine million, three hundred twenty-one thousand, four hundred seven".

Divisors: 1 3 9 13 17 27 31 39 51 81 93 117 153 197 221 279 351 403 459 527 591 663 837 1053 1209 1377 1581 1773 1989 2511 2561 3349 3627 4743 5319 5967 6107 6851 7683 10047 10881 14229 15957 17901 18321 20553 23049 30141 32643 42687 43537 54963 61659 69147 79391 90423 103819 130611 164889 184977 207441 238173 271269 311457 391833 494667 554931 714519 934371 1175499 1349647 2143557 2803113 3526497 4048941 6430671 8409339 12146823 36440469 109321407