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70828380 = 22325767839
BaseRepresentation
bin1000011100011…
…00000101011100
311221021110021100
410032030011130
5121113002010
611010033100
71520013510
oct416140534
9157243240
1070828380
1136a87457
121b878790
131189b8ac
14959a140
1563412c0
hex438c15c

70828380 has 144 divisors (see below), whose sum is σ = 249500160. Its totient is φ = 15928704.

The previous prime is 70828369. The next prime is 70828421. The reversal of 70828380 is 8382807.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 84001 + ... + 84839.

It is an arithmetic number, because the mean of its divisors is an integer number (1732640).

Almost surely, 270828380 is an apocalyptic number.

70828380 is a gapful number since it is divisible by the number (70) 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 70828380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124750080).

70828380 is an abundant number, since it is smaller than the sum of its proper divisors (178671780).

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

70828380 is a wasteful number, since it uses less digits than its factorization.

70828380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 928 (or 923 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 70828380 is about 8415.9598383072. The cubic root of 70828380 is about 413.7478686041.

The spelling of 70828380 in words is "seventy million, eight hundred twenty-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 67 70 84 90 105 126 134 140 180 201 210 252 268 315 335 402 420 469 603 630 670 804 839 938 1005 1206 1260 1340 1407 1678 1876 2010 2345 2412 2517 2814 3015 3356 4020 4195 4221 4690 5034 5628 5873 6030 7035 7551 8390 8442 9380 10068 11746 12060 12585 14070 15102 16780 16884 17619 21105 23492 25170 28140 29365 30204 35238 37755 42210 50340 52857 56213 58730 70476 75510 84420 88095 105714 112426 117460 151020 168639 176190 211428 224852 264285 281065 337278 352380 393491 505917 528570 562130 674556 786982 843195 1011834 1057140 1124260 1180473 1573964 1686390 1967455 2023668 2360946 2529585 3372780 3541419 3934910 4721892 5059170 5902365 7082838 7869820 10118340 11804730 14165676 17707095 23609460 35414190 70828380