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471141090 = 23357713511
BaseRepresentation
bin11100000101010…
…000101011100010
31012211112110002000
4130011100223202
51431103003330
6114430104430
714450430120
oct3405205342
91184473060
10471141090
11221a46302
1211194b116
13767bc614
1446802910
152b567560
hex1c150ae2

471141090 has 128 divisors (see below), whose sum is σ = 1456496640. Its totient is φ = 106142400.

The previous prime is 471141079. The next prime is 471141103. The reversal of 471141090 is 90141174.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 132435 + ... + 135945.

It is an arithmetic number, because the mean of its divisors is an integer number (11378880).

Almost surely, 2471141090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 471141090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728248320).

471141090 is an abundant number, since it is smaller than the sum of its proper divisors (985355550).

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

471141090 is a wasteful number, since it uses less digits than its factorization.

471141090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3605 (or 3599 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 471141090 is about 21705.7847128363. The cubic root of 471141090 is about 778.1267176621.

The spelling of 471141090 in words is "four hundred seventy-one million, one hundred forty-one thousand, ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 71 90 105 126 135 142 189 210 213 270 315 355 378 426 497 630 639 710 945 994 1065 1278 1491 1890 1917 2130 2485 2982 3195 3511 3834 4473 4970 6390 7022 7455 8946 9585 10533 13419 14910 17555 19170 21066 22365 24577 26838 31599 35110 44730 49154 52665 63198 67095 73731 94797 105330 122885 134190 147462 157995 189594 221193 245770 249281 315990 368655 442386 473985 498562 663579 737310 747843 947970 1105965 1246405 1327158 1495686 1744967 2211930 2243529 2492810 3317895 3489934 3739215 4487058 5234901 6635790 6730587 7478430 8724835 10469802 11217645 13461174 15704703 17449670 22435290 26174505 31409406 33652935 47114109 52349010 67305870 78523515 94228218 157047030 235570545 471141090