Search a number
-
+
107398935 = 3257253919
BaseRepresentation
bin1100110011011…
…00011100010111
321111002102122100
412121230130113
5204443231220
614353533143
72442606300
oct631543427
9244072570
10107398935
1155695456
122bb741b3
1319334487
14103997a7
159666d90
hex666c717

107398935 has 72 divisors (see below), whose sum is σ = 220877280. Its totient is φ = 48117888.

The previous prime is 107398933. The next prime is 107398957. The reversal of 107398935 is 539893701.

It is a happy number.

It is not a de Polignac number, because 107398935 - 21 = 107398933 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107398933) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 116406 + ... + 117324.

It is an arithmetic number, because the mean of its divisors is an integer number (3067740).

Almost surely, 2107398935 is an apocalyptic number.

107398935 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

107398935 is an abundant number, since it is smaller than the sum of its proper divisors (113478345).

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

107398935 is a wasteful number, since it uses less digits than its factorization.

107398935 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 987 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 107398935 is about 10363.3457435328. The cubic root of 107398935 is about 475.3352167456.

The spelling of 107398935 in words is "one hundred seven million, three hundred ninety-eight thousand, nine hundred thirty-five".

Divisors: 1 3 5 7 9 15 21 35 45 49 53 63 105 147 159 245 265 315 371 441 477 735 795 919 1113 1855 2205 2385 2597 2757 3339 4595 5565 6433 7791 8271 12985 13785 16695 19299 23373 32165 38955 41355 45031 48707 57897 96495 116865 135093 146121 225155 243535 289485 340949 405279 438363 675465 730605 1022847 1704745 2026395 2191815 2386643 3068541 5114235 7159929 11933215 15342705 21479787 35799645 107398935