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8341920 = 253351931
BaseRepresentation
bin11111110100100110100000
3120200210222000
4133310212200
54113420140
6454444000
7130622316
oct37644640
916623860
108341920
114788454
122963600
131960c62
1411720b6
15aeba30
hex7f49a0

8341920 has 96 divisors (see below), whose sum is σ = 29211840. Its totient is φ = 2223360.

The previous prime is 8341919. The next prime is 8341943. The reversal of 8341920 is 291438.

8341920 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3355 + ... + 5285.

It is an arithmetic number, because the mean of its divisors is an integer number (304290).

Almost surely, 28341920 is an apocalyptic number.

8341920 is a gapful number since it is divisible by the number (80) 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 8341920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14605920).

8341920 is an abundant number, since it is smaller than the sum of its proper divisors (20869920).

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

8341920 is a wasteful number, since it uses less digits than its factorization.

8341920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1955 (or 1941 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 8341920 is about 2888.2382173221. The cubic root of 8341920 is about 202.8096770705.

It can be divided in two parts, 8341 and 920, that added together give a cube (9261 = 213).

The spelling of 8341920 in words is "eight million, three hundred forty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 1931 2160 3862 4320 5793 7724 9655 11586 15448 17379 19310 23172 28965 30896 34758 38620 46344 52137 57930 61792 69516 77240 86895 92688 104274 115860 139032 154480 173790 185376 208548 231720 260685 278064 308960 347580 417096 463440 521370 556128 695160 834192 926880 1042740 1390320 1668384 2085480 2780640 4170960 8341920