[go: up one dir, main page]

Search a number
-
+
1102923580 = 2251131592741
BaseRepresentation
bin100000110111101…
…0100011100111100
32211212100022201111
41001233110130330
54224322023310
6301235251404
736221460433
oct10157243474
92755308644
101102923580
115166318a0
12269449b64
13147665605
14a66a011a
1566c6228a
hex41bd473c

1102923580 has 96 divisors (see below), whose sum is σ = 2653378560. Its totient is φ = 381408000.

The previous prime is 1102923559. The next prime is 1102923581. The reversal of 1102923580 is 853292011.

1102923580 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102923581) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 401010 + ... + 403750.

It is an arithmetic number, because the mean of its divisors is an integer number (27639360).

Almost surely, 21102923580 is an apocalyptic number.

1102923580 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 1102923580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1326689280).

1102923580 is an abundant number, since it is smaller than the sum of its proper divisors (1550454980).

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

1102923580 is a wasteful number, since it uses less digits than its factorization.

1102923580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2851 (or 2849 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 1102923580 is about 33210.2932838601. The cubic root of 1102923580 is about 1033.1938378004.

The spelling of 1102923580 in words is "one billion, one hundred two million, nine hundred twenty-three thousand, five hundred eighty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 59 62 110 118 124 155 220 236 295 310 341 590 620 649 682 1180 1298 1364 1705 1829 2596 2741 3245 3410 3658 5482 6490 6820 7316 9145 10964 12980 13705 18290 20119 27410 30151 36580 40238 54820 60302 80476 84971 100595 120604 150755 161719 169942 201190 301510 323438 339884 402380 424855 603020 646876 808595 849710 934681 1617190 1699420 1778909 1869362 3234380 3557818 3738724 4673405 5013289 7115636 8894545 9346810 10026578 17789090 18693620 20053156 25066445 35578180 50132890 55146179 100265780 110292358 220584716 275730895 551461790 1102923580