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470963070 = 232517219953
BaseRepresentation
bin11100000100100…
…101001101111110
31012211012101212200
4130010211031332
51431031304240
6114422212330
714446056114
oct3404451576
91184171780
10470963070
11221934586
121118840a6
1376759596
1446797ab4
152b52e930
hex1c12537e

470963070 has 144 divisors (see below), whose sum is σ = 1370669040. Its totient is φ = 111863808.

The previous prime is 470963063. The next prime is 470963083. The reversal of 470963070 is 70369074.

470963070 is a `hidden beast` number, since 470 + 96 + 30 + 70 = 666.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 493714 + ... + 494666.

It is an arithmetic number, because the mean of its divisors is an integer number (9518535).

Almost surely, 2470963070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 470963070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685334520).

470963070 is an abundant number, since it is smaller than the sum of its proper divisors (899705970).

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

470963070 is a wasteful number, since it uses less digits than its factorization.

470963070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 999 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 470963070 is about 21701.6835752436. The cubic root of 470963070 is about 778.0287006195.

The spelling of 470963070 in words is "four hundred seventy million, nine hundred sixty-three thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 17 18 19 30 34 38 45 51 57 85 90 95 102 114 153 170 171 190 255 285 289 306 323 342 510 570 578 646 765 855 867 953 969 1445 1530 1615 1710 1734 1906 1938 2601 2859 2890 2907 3230 4335 4765 4845 5202 5491 5718 5814 8577 8670 9530 9690 10982 13005 14295 14535 16201 16473 17154 18107 26010 27455 28590 29070 32402 32946 36214 42885 48603 49419 54321 54910 81005 82365 85770 90535 97206 98838 108642 145809 162010 162963 164730 181070 243015 247095 271605 275417 291618 307819 325926 486030 494190 543210 550834 615638 729045 814815 826251 923457 1377085 1458090 1539095 1629630 1652502 1846914 2478753 2754170 2770371 3078190 4131255 4617285 4957506 5232923 5540742 8262510 9234570 10465846 12393765 13851855 15698769 24787530 26164615 27703710 31397538 47096307 52329230 78493845 94192614 156987690 235481535 470963070