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514851840 = 21032511173
BaseRepresentation
bin11110101100000…
…000010000000000
31022212210011221200
4132230000100000
52023300224330
6123031021200
715521111526
oct3654002000
91285704850
10514851840
11244690898
1212450a800
1382885179
144c540316
15302eda60
hex1eb00400

514851840 has 132 divisors (see below), whose sum is σ = 1784107884. Its totient is φ = 137281536.

The previous prime is 514851839. The next prime is 514851859. The reversal of 514851840 is 48158415.

It can be written as a sum of positive squares in 2 ways, for example, as 212926464 + 301925376 = 14592^2 + 17376^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 514851795 and 514851804.

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, 40494 + ... + 51666.

Almost surely, 2514851840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 514851840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892053942).

514851840 is an abundant number, since it is smaller than the sum of its proper divisors (1269256044).

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

514851840 is a wasteful number, since it uses less digits than its factorization.

514851840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11204 (or 11183 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 514851840 is about 22690.3468461811. The cubic root of 514851840 is about 801.4825840666.

The spelling of 514851840 in words is "five hundred fourteen million, eight hundred fifty-one thousand, eight hundred forty".

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 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2304 2560 2880 3072 3840 4608 5120 5760 7680 9216 11173 11520 15360 22346 23040 33519 44692 46080 55865 67038 89384 100557 111730 134076 167595 178768 201114 223460 268152 335190 357536 402228 446920 502785 536304 670380 715072 804456 893840 1005570 1072608 1340760 1430144 1608912 1787680 2011140 2145216 2681520 2860288 3217824 3575360 4022280 4290432 5363040 5720576 6435648 7150720 8044560 8580864 10726080 11441152 12871296 14301440 16089120 17161728 21452160 25742592 28602880 32178240 34323456 42904320 51485184 57205760 64356480 85808640 102970368 128712960 171617280 257425920 514851840