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1049713920 = 2832591121
BaseRepresentation
bin111110100100010…
…101110100000000
32201011012222210100
4332210111310000
54122211321140
6252055002400
735004264303
oct7644256400
92634188710
101049713920
11499599672
12253669400
131396252c8
149d5acb3a
1562251530
hex3e915d00

1049713920 has 108 divisors (see below), whose sum is σ = 3631940676. Its totient is φ = 279920640.

The previous prime is 1049713901. The next prime is 1049713949. The reversal of 1049713920 is 293179401.

1049713920 is a `hidden beast` number, since 10 + 497 + 139 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 637461504 + 412252416 = 25248^2 + 20304^2 .

It is a super-2 number, since 2×10497139202 = 2203798627683532800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 34041 + ... + 57080.

Almost surely, 21049713920 is an apocalyptic number.

1049713920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1049713920 is an abundant number, since it is smaller than the sum of its proper divisors (2582226756).

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

1049713920 is an equidigital number, since it uses as much as digits as its factorization.

1049713920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91148 (or 91131 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 1049713920 is about 32399.2888810850. The cubic root of 1049713920 is about 1016.3040402811.

The spelling of 1049713920 in words is "one billion, forty-nine million, seven hundred thirteen thousand, nine 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 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 11520 91121 182242 273363 364484 455605 546726 728968 820089 911210 1093452 1366815 1457936 1640178 1822420 2186904 2733630 2915872 3280356 3644840 4100445 4373808 5467260 5831744 6560712 7289680 8200890 8747616 10934520 11663488 13121424 14579360 16401780 17495232 21869040 23326976 26242848 29158720 32803560 34990464 43738080 52485696 58317440 65607120 69980928 87476160 104971392 116634880 131214240 174952320 209942784 262428480 349904640 524856960 1049713920