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874531640 = 235413671453
BaseRepresentation
bin110100001000000…
…100101100111000
32020221120210212202
4310020010230320
53242340003030
6222440125332
730446252633
oct6410045470
92227523782
10874531640
11409717624
12204a66848
1310c24a258
148420ac1a
1551b9a745
hex34204b38

874531640 has 64 divisors (see below), whose sum is σ = 2022572160. Its totient is φ = 340116480.

The previous prime is 874531633. The next prime is 874531657. The reversal of 874531640 is 46135478.

It is a super-2 number, since 2×8745316402 = 1529611178722179200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 874531594 and 874531603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 601154 + ... + 602606.

It is an arithmetic number, because the mean of its divisors is an integer number (31602690).

Almost surely, 2874531640 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 874531640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1011286080).

874531640 is an abundant number, since it is smaller than the sum of its proper divisors (1148040520).

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

874531640 is a wasteful number, since it uses less digits than its factorization.

874531640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1872 (or 1868 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 874531640 is about 29572.4811268855. The cubic root of 874531640 is about 956.2949056048.

The spelling of 874531640 in words is "eight hundred seventy-four million, five hundred thirty-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 41 82 164 205 328 367 410 734 820 1453 1468 1640 1835 2906 2936 3670 5812 7265 7340 11624 14530 14680 15047 29060 30094 58120 59573 60188 75235 119146 120376 150470 238292 297865 300940 476584 533251 595730 601880 1066502 1191460 2133004 2382920 2666255 4266008 5332510 10665020 21330040 21863291 43726582 87453164 109316455 174906328 218632910 437265820 874531640