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1954540 = 225723607
BaseRepresentation
bin111011101001011101100
310200022010101
413131023230
51000021130
6105520444
722420240
oct7351354
93608111
101954540
111115525
127a3124
13535843
1438c420
152891ca
hex1dd2ec

1954540 has 48 divisors (see below), whose sum is σ = 4902912. Its totient is φ = 639936.

The previous prime is 1954531. The next prime is 1954543. The reversal of 1954540 is 454591.

It is a super-2 number, since 2×19545402 = 7640453223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a d-powerful number, because it can be written as 1 + 9 + 53 + 44 + 59 + 45 + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 1954499 and 1954508.

It is not an unprimeable number, because it can be changed into a prime (1954543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2917 + ... + 3523.

It is an arithmetic number, because the mean of its divisors is an integer number (102144).

21954540 is an apocalyptic number.

1954540 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 1954540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2451456).

1954540 is an abundant number, since it is smaller than the sum of its proper divisors (2948372).

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

1954540 is a wasteful number, since it uses less digits than its factorization.

1954540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 1954540 is about 1398.0486400694. The cubic root of 1954540 is about 125.0301793797.

The spelling of 1954540 in words is "one million, nine hundred fifty-four thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 607 644 805 1214 1610 2428 3035 3220 4249 6070 8498 12140 13961 16996 21245 27922 42490 55844 69805 84980 97727 139610 195454 279220 390908 488635 977270 1954540