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519966040 = 235112532027
BaseRepresentation
bin11110111111100…
…000110101011000
31100020102000022111
4132333200311120
52031102403130
6123332402104
715612431656
oct3677406530
91306360274
10519966040
11247564200
12126176334
1383955c19
144d0b1dd6
15309ae02a
hex1efe0d58

519966040 has 96 divisors (see below), whose sum is σ = 1310858640. Its totient is φ = 185419520.

The previous prime is 519966001. The next prime is 519966047. The reversal of 519966040 is 40669915.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 519965984 and 519966002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (519966047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 255507 + ... + 257533.

Almost surely, 2519966040 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 519966040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655429320).

519966040 is an abundant number, since it is smaller than the sum of its proper divisors (790892600).

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

519966040 is a wasteful number, since it uses less digits than its factorization.

519966040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2113 (or 2098 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 40.

The square root of 519966040 is about 22802.7638675666. The cubic root of 519966040 is about 804.1276457153.

The spelling of 519966040 in words is "five hundred nineteen million, nine hundred sixty-six thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 53 55 88 106 110 121 212 220 242 265 424 440 484 530 583 605 968 1060 1166 1210 2027 2120 2332 2420 2915 4054 4664 4840 5830 6413 8108 10135 11660 12826 16216 20270 22297 23320 25652 32065 40540 44594 51304 64130 81080 89188 107431 111485 128260 178376 214862 222970 245267 256520 429724 445940 490534 537155 859448 891880 981068 1074310 1181741 1226335 1962136 2148620 2363482 2452670 4297240 4726964 4905340 5908705 9453928 9810680 11817410 12999151 23634820 25998302 47269640 51996604 64995755 103993208 129991510 259983020 519966040