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17140992 = 283112029
BaseRepresentation
bin100000101100…
…0110100000000
31012020212000120
41001120310000
513342002432
61411220240
7265460511
oct101306400
935225016
1017140992
119748310
1258a7680
133721ccb
1423c2a08
151788c2c
hex1058d00

17140992 has 72 divisors (see below), whose sum is σ = 49791840. Its totient is φ = 5191680.

The previous prime is 17140933. The next prime is 17141009. The reversal of 17140992 is 29904171.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7434 + ... + 9462.

Almost surely, 217140992 is an apocalyptic number.

17140992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17140992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24895920).

17140992 is an abundant number, since it is smaller than the sum of its proper divisors (32650848).

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

17140992 is a wasteful number, since it uses less digits than its factorization.

17140992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2059 (or 2045 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 17140992 is about 4140.1681125288. The cubic root of 17140992 is about 257.8370463093.

The spelling of 17140992 in words is "seventeen million, one hundred forty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2029 2112 2816 4058 4224 6087 8116 8448 12174 16232 22319 24348 32464 44638 48696 64928 66957 89276 97392 129856 133914 178552 194784 259712 267828 357104 389568 519424 535656 714208 779136 1071312 1428416 1558272 2142624 2856832 4285248 5713664 8570496 17140992