Search a number
-
+
1042180640 = 25541792011
BaseRepresentation
bin111110000111100…
…110101000100000
32200122001021001222
4332013212220200
54113244240030
6251225314212
734553250344
oct7607465040
92618037058
101042180640
11495313816
12251035968
13137bb8447
149c5ab624
15617643e5
hex3e1e6a20

1042180640 has 96 divisors (see below), whose sum is σ = 2555400960. Its totient is φ = 401356800.

The previous prime is 1042180639. The next prime is 1042180687. The reversal of 1042180640 is 460812401.

It is a super-2 number, since 2×10421806402 = 2172280972781619200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 517235 + ... + 519245.

It is an arithmetic number, because the mean of its divisors is an integer number (26618760).

Almost surely, 21042180640 is an apocalyptic number.

1042180640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042180640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1277700480).

1042180640 is an abundant number, since it is smaller than the sum of its proper divisors (1513220320).

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

1042180640 is a wasteful number, since it uses less digits than its factorization.

1042180640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2146 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 26.

The square root of 1042180640 is about 32282.8226770832. The cubic root of 1042180640 is about 1013.8670299621.

The spelling of 1042180640 in words is "one billion, forty-two million, one hundred eighty thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 79 80 82 158 160 164 205 316 328 395 410 632 656 790 820 1264 1312 1580 1640 2011 2528 3160 3239 3280 4022 6320 6478 6560 8044 10055 12640 12956 16088 16195 20110 25912 32176 32390 40220 51824 64352 64780 80440 82451 103648 129560 158869 160880 164902 259120 317738 321760 329804 412255 518240 635476 659608 794345 824510 1270952 1319216 1588690 1649020 2541904 2638432 3177380 3298040 5083808 6354760 6513629 6596080 12709520 13027258 13192160 25419040 26054516 32568145 52109032 65136290 104218064 130272580 208436128 260545160 521090320 1042180640