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70825300 = 225271343181
BaseRepresentation
bin1000011100010…
…11010101010100
311221021022001021
410032023111110
5121112402200
611010010524
71520001520
oct416132524
9157238037
1070825300
1136a85107
121b876a44
131189a380
149598d80
15634041a
hex438b554

70825300 has 144 divisors (see below), whose sum is σ = 194626432. Its totient is φ = 21772800.

The previous prime is 70825291. The next prime is 70825309. The reversal of 70825300 is 352807.

It is an interprime number because it is at equal distance from previous prime (70825291) and next prime (70825309).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70825309) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 391210 + ... + 391390.

Almost surely, 270825300 is an apocalyptic number.

70825300 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 70825300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97313216).

70825300 is an abundant number, since it is smaller than the sum of its proper divisors (123801132).

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

70825300 is a wasteful number, since it uses less digits than its factorization.

70825300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 70825300 is about 8415.7768506538. The cubic root of 70825300 is about 413.7418711875.

The spelling of 70825300 in words is "seventy million, eight hundred twenty-five thousand, three hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 43 50 52 65 70 86 91 100 130 140 172 175 181 182 215 260 301 325 350 362 364 430 455 559 602 650 700 724 860 905 910 1075 1118 1204 1267 1300 1505 1810 1820 2150 2236 2275 2353 2534 2795 3010 3620 3913 4300 4525 4550 4706 5068 5590 6020 6335 7525 7783 7826 9050 9100 9412 11180 11765 12670 13975 15050 15566 15652 16471 18100 19565 23530 25340 27950 30100 31132 31675 32942 38915 39130 47060 54481 55900 58825 63350 65884 77830 78260 82355 97825 101179 108962 117650 126700 155660 164710 194575 195650 202358 217924 235300 272405 329420 389150 391300 404716 411775 505895 544810 708253 778300 823550 1011790 1089620 1362025 1416506 1647100 2023580 2529475 2724050 2833012 3541265 5058950 5448100 7082530 10117900 14165060 17706325 35412650 70825300