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1925040 = 243513617
BaseRepresentation
bin111010101111110110000
310121210122210
413111332300
5443100130
6105132120
722235235
oct7257660
93553583
101925040
1110a5347
1278a040
135252a0
1438178c
152805b0
hex1d5fb0

1925040 has 80 divisors (see below), whose sum is σ = 6437088. Its totient is φ = 473088.

The previous prime is 1925039. The next prime is 1925041. The reversal of 1925040 is 405291.

It is an interprime number because it is at equal distance from previous prime (1925039) and next prime (1925041).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 1924998 and 1925016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1925041) 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, 2812 + ... + 3428.

21925040 is an apocalyptic number.

1925040 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 1925040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3218544).

1925040 is an abundant number, since it is smaller than the sum of its proper divisors (4512048).

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

1925040 is a wasteful number, since it uses less digits than its factorization.

1925040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 1925040 is about 1387.4581074757. The cubic root of 1925040 is about 124.3979583554.

The spelling of 1925040 in words is "one million, nine hundred twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 617 624 780 1040 1234 1560 1851 2468 3085 3120 3702 4936 6170 7404 8021 9255 9872 12340 14808 16042 18510 24063 24680 29616 32084 37020 40105 48126 49360 64168 74040 80210 96252 120315 128336 148080 160420 192504 240630 320840 385008 481260 641680 962520 1925040