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1354680 = 233255371
BaseRepresentation
bin101001010101110111000
32112211021100
411022232320
5321322210
645011400
714341335
oct5125670
92484240
101354680
11845878
12553b60
133857b2
1427398c
151bb5c0
hex14abb8

1354680 has 96 divisors (see below), whose sum is σ = 4548960. Its totient is φ = 349440.

The previous prime is 1354663. The next prime is 1354687. The reversal of 1354680 is 864531.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1354687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19045 + ... + 19115.

It is an arithmetic number, because the mean of its divisors is an integer number (47385).

21354680 is an apocalyptic number.

1354680 is a gapful number since it is divisible by the number (10) 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 1354680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2274480).

1354680 is an abundant number, since it is smaller than the sum of its proper divisors (3194280).

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

1354680 is a wasteful number, since it uses less digits than its factorization.

1354680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1354680 is about 1163.9072127966. The cubic root of 1354680 is about 110.6485107552.

The spelling of 1354680 in words is "one million, three hundred fifty-four thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 53 60 71 72 90 106 120 142 159 180 212 213 265 284 318 355 360 424 426 477 530 568 636 639 710 795 852 954 1060 1065 1272 1278 1420 1590 1704 1908 2120 2130 2385 2556 2840 3180 3195 3763 3816 4260 4770 5112 6360 6390 7526 8520 9540 11289 12780 15052 18815 19080 22578 25560 30104 33867 37630 45156 56445 67734 75260 90312 112890 135468 150520 169335 225780 270936 338670 451560 677340 1354680