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70666020 = 22345181241
BaseRepresentation
bin1000011011001…
…00011100100100
311220222012120000
410031210130210
5121042303040
611002341300
71515436245
oct415443444
9156865500
1070666020
1136986477
121b7ba830
1311842a19
149556ccc
15630d130
hex4364724

70666020 has 120 divisors (see below), whose sum is σ = 223831608. Its totient is φ = 18662400.

The previous prime is 70666009. The next prime is 70666021. The reversal of 70666020 is 2066607.

It can be written as a sum of positive squares in 4 ways, for example, as 910116 + 69755904 = 954^2 + 8352^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (70666021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 293100 + ... + 293340.

Almost surely, 270666020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 70666020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111915804).

70666020 is an abundant number, since it is smaller than the sum of its proper divisors (153165588).

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

70666020 is a wasteful number, since it uses less digits than its factorization.

70666020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 70666020 is about 8406.3083455224. The cubic root of 70666020 is about 413.4314817795.

The spelling of 70666020 in words is "seventy million, six hundred sixty-six thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 181 241 270 324 362 405 482 540 543 723 724 810 905 964 1086 1205 1446 1620 1629 1810 2169 2172 2410 2715 2892 3258 3615 3620 4338 4820 4887 5430 6507 6516 7230 8145 8676 9774 10845 10860 13014 14460 14661 16290 19521 19548 21690 24435 26028 29322 32535 32580 39042 43380 43621 48870 58644 65070 73305 78084 87242 97605 97740 130140 130863 146610 174484 195210 218105 261726 293220 390420 392589 436210 523452 654315 785178 872420 1177767 1308630 1570356 1962945 2355534 2617260 3533301 3925890 4711068 5888835 7066602 7851780 11777670 14133204 17666505 23555340 35333010 70666020