Search a number
-
+
105417474 = 23891131747
BaseRepresentation
bin1100100100010…
…00101100000010
321100100202120220
412102020230002
5203441324344
614243243510
72420014401
oct622105402
9240322526
10105417474
1154561788
122b379596
1318abc606
1410001638
1593c4c19
hex6488b02

105417474 has 32 divisors (see below), whose sum is σ = 215213760. Its totient is φ = 34417152.

The previous prime is 105417469. The next prime is 105417503. The reversal of 105417474 is 474714501.

It is a super-2 number, since 2×1054174742 = 22225687649081352, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59469 + ... + 61215.

It is an arithmetic number, because the mean of its divisors is an integer number (6725430).

Almost surely, 2105417474 is an apocalyptic number.

105417474 is an abundant number, since it is smaller than the sum of its proper divisors (109796286).

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

105417474 is a wasteful number, since it uses less digits than its factorization.

105417474 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1954.

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 105417474 is about 10267.3012033348. The cubic root of 105417474 is about 472.3938139368.

It can be divided in two parts, 1054 and 17474, that added together give a triangular number (18528 = T192).

The spelling of 105417474 in words is "one hundred five million, four hundred seventeen thousand, four hundred seventy-four".

Divisors: 1 2 3 6 89 113 178 226 267 339 534 678 1747 3494 5241 10057 10482 20114 30171 60342 155483 197411 310966 394822 466449 592233 932898 1184466 17569579 35139158 52708737 105417474