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70575300 = 2234528713
BaseRepresentation
bin1000011010011…
…10010011000100
311220210121010000
410031032103010
5121031402200
611000401300
71514610615
oct415162304
9156717100
1070575300
11369242a4
121b776230
1311810643
149531c0c
1562e1300
hex434e4c4

70575300 has 90 divisors (see below), whose sum is σ = 228803498. Its totient is φ = 18817920.

The previous prime is 70575287. The next prime is 70575301. The reversal of 70575300 is 357507.

It can be written as a sum of positive squares in 3 ways, for example, as 19766916 + 50808384 = 4446^2 + 7128^2 .

It is a tau number, because it is divible by the number of its divisors (90).

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 (70575301) 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 29 ways as a sum of consecutive naturals, for example, 3744 + ... + 12456.

Almost surely, 270575300 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 70575300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114401749).

70575300 is an abundant number, since it is smaller than the sum of its proper divisors (158228198).

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

70575300 is a wasteful number, since it uses less digits than its factorization.

70575300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8739 (or 8723 counting only the distinct ones).

The product of its (nonzero) digits is 3675, while the sum is 27.

The square root of 70575300 is about 8400.9106649220. The cubic root of 70575300 is about 413.2544869260.

The spelling of 70575300 in words is "seventy million, five hundred seventy-five thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 270 300 324 405 450 540 675 810 900 1350 1620 2025 2700 4050 8100 8713 17426 26139 34852 43565 52278 78417 87130 104556 130695 156834 174260 217825 235251 261390 313668 392085 435650 470502 522780 653475 705753 784170 871300 941004 1176255 1306950 1411506 1568340 1960425 2352510 2613900 2823012 3528765 3920850 4705020 5881275 7057530 7841700 11762550 14115060 17643825 23525100 35287650 70575300