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1941120 = 27325337
BaseRepresentation
bin111011001111010000000
310122121201100
413121322000
5444103440
6105334400
722333146
oct7317200
93577640
101941120
111106435
12797400
1352c6bc
14387596
15285230
hex1d9e80

1941120 has 96 divisors (see below), whose sum is σ = 6722820. Its totient is φ = 516096.

The previous prime is 1941103. The next prime is 1941151. The reversal of 1941120 is 211491.

It can be written as a sum of positive squares in 2 ways, for example, as 1871424 + 69696 = 1368^2 + 264^2 .

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 (18).

It is a junction number, because it is equal to n+sod(n) for n = 1941093 and 1941102.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5592 + ... + 5928.

21941120 is an apocalyptic number.

1941120 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 1941120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3361410).

1941120 is an abundant number, since it is smaller than the sum of its proper divisors (4781700).

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

1941120 is a wasteful number, since it uses less digits than its factorization.

1941120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1941120 is about 1393.2408262752. The cubic root of 1941120 is about 124.7433668092.

The spelling of 1941120 in words is "one million, nine hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 337 360 384 480 576 640 674 720 960 1011 1152 1348 1440 1685 1920 2022 2696 2880 3033 3370 4044 5055 5392 5760 6066 6740 8088 10110 10784 12132 13480 15165 16176 20220 21568 24264 26960 30330 32352 40440 43136 48528 53920 60660 64704 80880 97056 107840 121320 129408 161760 194112 215680 242640 323520 388224 485280 647040 970560 1941120