Search a number
-
+
70204120 = 23571571597
BaseRepresentation
bin1000010111100…
…11101011011000
311220002201221121
410023303223120
5120433012440
610544415024
71511503510
oct413635330
9156081847
1070204120
11366a0438
121b617474
13117106cc
149476840
15626b34a
hex42f3ad8

70204120 has 64 divisors (see below), whose sum is σ = 181788480. Its totient is φ = 23901696.

The previous prime is 70204117. The next prime is 70204153. The reversal of 70204120 is 2140207.

It is a junction number, because it is equal to n+sod(n) for n = 70204094 and 70204103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43162 + ... + 44758.

It is an arithmetic number, because the mean of its divisors is an integer number (2840445).

Almost surely, 270204120 is an apocalyptic number.

70204120 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 70204120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90894240).

70204120 is an abundant number, since it is smaller than the sum of its proper divisors (111584360).

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

70204120 is a wasteful number, since it uses less digits than its factorization.

70204120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772 (or 1768 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 70204120 is about 8378.7898887608. The cubic root of 70204120 is about 412.5287301691.

Adding to 70204120 its reverse (2140207), we get a palindrome (72344327).

It can be divided in two parts, 70 and 204120, that multiplied together give a square (14288400 = 37802).

The spelling of 70204120 in words is "seventy million, two hundred four thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 157 280 314 628 785 1099 1256 1570 1597 2198 3140 3194 4396 5495 6280 6388 7985 8792 10990 11179 12776 15970 21980 22358 31940 43960 44716 55895 63880 89432 111790 223580 250729 447160 501458 1002916 1253645 1755103 2005832 2507290 3510206 5014580 7020412 8775515 10029160 14040824 17551030 35102060 70204120