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534816640 = 2755315767
BaseRepresentation
bin11111111000001…
…010011110000000
31101021100111111201
4133320022132000
52043403113030
6125022550544
716152603121
oct3770123600
91337314451
10534816640
11254987726
1212b138454
1386a55567
145105a048
1531e442ca
hex1fe0a780

534816640 has 64 divisors (see below), whose sum is σ = 1302752160. Its totient is φ = 209876992.

The previous prime is 534816629. The next prime is 534816643. The reversal of 534816640 is 46618435.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 534816640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (534816643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26037 + ... + 41803.

Almost surely, 2534816640 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 534816640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651376080).

534816640 is an abundant number, since it is smaller than the sum of its proper divisors (767935520).

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

534816640 is a wasteful number, since it uses less digits than its factorization.

534816640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15839 (or 15827 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 534816640 is about 23126.1030007219. The cubic root of 534816640 is about 811.7113844001.

The spelling of 534816640 in words is "five hundred thirty-four million, eight hundred sixteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 128 160 212 265 320 424 530 640 848 1060 1696 2120 3392 4240 6784 8480 15767 16960 31534 33920 63068 78835 126136 157670 252272 315340 504544 630680 835651 1009088 1261360 1671302 2018176 2522720 3342604 4178255 5045440 6685208 8356510 10090880 13370416 16713020 26740832 33426040 53481664 66852080 106963328 133704160 267408320 534816640