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8041920 = 26358377
BaseRepresentation
bin11110101011010111000000
3120010120102220
4132223113000
54024320140
6444211040
7125232555
oct36532700
916116386
108041920
1145a3017
122839a80
131887543
1410d4a2c
15a8cbd0
hex7ab5c0

8041920 has 56 divisors (see below), whose sum is σ = 25536144. Its totient is φ = 2144256.

The previous prime is 8041907. The next prime is 8041967. The reversal of 8041920 is 291408.

8041920 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3229 + ... + 5148.

Almost surely, 28041920 is an apocalyptic number.

8041920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

8041920 is an abundant number, since it is smaller than the sum of its proper divisors (17494224).

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

8041920 is a wasteful number, since it uses less digits than its factorization.

8041920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8397 (or 8387 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 8041920 is about 2835.8279214367. The cubic root of 8041920 is about 200.3487249345.

The spelling of 8041920 in words is "eight million, forty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 8377 16754 25131 33508 41885 50262 67016 83770 100524 125655 134032 167540 201048 251310 268064 335080 402096 502620 536128 670160 804192 1005240 1340320 1608384 2010480 2680640 4020960 8041920