Search a number
-
+
1085801340 = 22351338237
BaseRepresentation
bin100000010111000…
…0000001101111100
32210200010102102110
41000232000031330
54210431120330
6255424254020
735623105401
oct10056001574
92720112373
101085801340
115079a7688
12263771310
13143c4c000
14a42c42a8
15654cddb0
hex40b8037c

1085801340 has 96 divisors (see below), whose sum is σ = 3293881920. Its totient is φ = 267241728.

The previous prime is 1085801323. The next prime is 1085801351. The reversal of 1085801340 is 431085801.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1085801298 and 1085801307.

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, 127702 + ... + 135938.

It is an arithmetic number, because the mean of its divisors is an integer number (34311270).

Almost surely, 21085801340 is an apocalyptic number.

1085801340 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 1085801340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646940960).

1085801340 is an abundant number, since it is smaller than the sum of its proper divisors (2208080580).

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

1085801340 is a wasteful number, since it uses less digits than its factorization.

1085801340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8288 (or 8260 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 1085801340 is about 32951.4998141208. The cubic root of 1085801340 is about 1027.8193536129.

The spelling of 1085801340 in words is "one billion, eighty-five million, eight hundred one thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 260 338 390 507 676 780 845 1014 1690 2028 2197 2535 3380 4394 5070 6591 8237 8788 10140 10985 13182 16474 21970 24711 26364 32948 32955 41185 43940 49422 65910 82370 98844 107081 123555 131820 164740 214162 247110 321243 428324 494220 535405 642486 1070810 1284972 1392053 1606215 2141620 2784106 3212430 4176159 5568212 6424860 6960265 8352318 13920530 16704636 18096689 20880795 27841060 36193378 41761590 54290067 72386756 83523180 90483445 108580134 180966890 217160268 271450335 361933780 542900670 1085801340