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514155040 = 2557265581
BaseRepresentation
bin11110101001010…
…110001000100000
31022211110210010021
4132221112020200
52023110430130
6123004043224
715512150200
oct3651261040
91284423107
10514155040
11244255323
12124233514
138269cc69
144c3dc400
153021237a
hex1ea56220

514155040 has 72 divisors (see below), whose sum is σ = 1413029772. Its totient is φ = 176279040.

The previous prime is 514155011. The next prime is 514155053. The reversal of 514155040 is 40551415.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 442176784 + 71978256 = 21028^2 + 8484^2 .

It is a junction number, because it is equal to n+sod(n) for n = 514154996 and 514155014.

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, 24951 + ... + 40630.

Almost surely, 2514155040 is an apocalyptic number.

It is an amenable number.

514155040 is an abundant number, since it is smaller than the sum of its proper divisors (898874732).

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

514155040 is a wasteful number, since it uses less digits than its factorization.

514155040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65610 (or 65595 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The square root of 514155040 is about 22674.9871003271. The cubic root of 514155040 is about 801.1208455648.

The spelling of 514155040 in words is "five hundred fourteen million, one hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 392 490 560 784 980 1120 1568 1960 3920 7840 65581 131162 262324 327905 459067 524648 655810 918134 1049296 1311620 1836268 2098592 2295335 2623240 3213469 3672536 4590670 5246480 6426938 7345072 9181340 10492960 12853876 14690144 16067345 18362680 25707752 32134690 36725360 51415504 64269380 73450720 102831008 128538760 257077520 514155040