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536377940 = 2257231571061
BaseRepresentation
bin11111111110000…
…111101001010100
31101101021211012122
4133332013221110
52044303043230
6125120235112
716202065040
oct3776075124
91341254178
10536377940
1125585375a
1212b76ba98
13871810c7
1451345020
1532151be5
hex1ff87a54

536377940 has 96 divisors (see below), whose sum is σ = 1353106944. Its totient is φ = 174620160.

The previous prime is 536377927. The next prime is 536377957. The reversal of 536377940 is 49773635.

It is a junction number, because it is equal to n+sod(n) for n = 536377891 and 536377900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 505010 + ... + 506070.

It is an arithmetic number, because the mean of its divisors is an integer number (14094864).

Almost surely, 2536377940 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 536377940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676553472).

536377940 is an abundant number, since it is smaller than the sum of its proper divisors (816729004).

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

536377940 is a wasteful number, since it uses less digits than its factorization.

536377940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1257 (or 1255 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 44.

The square root of 536377940 is about 23159.8346280797. The cubic root of 536377940 is about 812.5004983034.

The spelling of 536377940 in words is "five hundred thirty-six million, three hundred seventy-seven thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 157 161 230 314 322 460 628 644 785 805 1061 1099 1570 1610 2122 2198 3140 3220 3611 4244 4396 5305 5495 7222 7427 10610 10990 14444 14854 18055 21220 21980 24403 25277 29708 36110 37135 48806 50554 72220 74270 97612 101108 122015 126385 148540 166577 170821 244030 252770 333154 341642 488060 505540 666308 683284 832885 854105 1166039 1665770 1708210 2332078 3331540 3416420 3831271 4664156 5830195 7662542 11660390 15325084 19156355 23320780 26818897 38312710 53637794 76625420 107275588 134094485 268188970 536377940