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70384080 = 243513171327
BaseRepresentation
bin1000011000111…
…11100111010000
311220102212210210
410030133213100
5121004242310
610552324120
71513153254
oct414374720
9156385723
1070384080
1136803668
121b6a3640
13117745b0
1494c2264
1562a4820
hex431f9d0

70384080 has 160 divisors (see below), whose sum is σ = 248984064. Its totient is φ = 16293888.

The previous prime is 70384079. The next prime is 70384087. The reversal of 70384080 is 8048307.

70384080 = T1439 + T1440 + ... + T1503.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70384087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52377 + ... + 53703.

Almost surely, 270384080 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 70384080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124492032).

70384080 is an abundant number, since it is smaller than the sum of its proper divisors (178599984).

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

70384080 is a wasteful number, since it uses less digits than its factorization.

70384080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373 (or 1367 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 70384080 is about 8389.5220364452. The cubic root of 70384080 is about 412.8809190266.

The spelling of 70384080 in words is "seventy million, three hundred eighty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 26 30 34 39 40 48 51 52 60 65 68 78 80 85 102 104 120 130 136 156 170 195 204 208 221 240 255 260 272 312 340 390 408 442 510 520 624 663 680 780 816 884 1020 1040 1105 1326 1327 1360 1560 1768 2040 2210 2652 2654 3120 3315 3536 3981 4080 4420 5304 5308 6630 6635 7962 8840 10608 10616 13260 13270 15924 17251 17680 19905 21232 22559 26520 26540 31848 34502 39810 45118 51753 53040 53080 63696 67677 69004 79620 86255 90236 103506 106160 112795 135354 138008 159240 172510 180472 207012 225590 258765 270708 276016 293267 318480 338385 345020 360944 414024 451180 517530 541416 586534 676770 690040 828048 879801 902360 1035060 1082832 1173068 1353540 1380080 1466335 1759602 1804720 2070120 2346136 2707080 2932670 3519204 4140240 4399005 4692272 5414160 5865340 7038408 8798010 11730680 14076816 17596020 23461360 35192040 70384080