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70152160 = 25513291163
BaseRepresentation
bin1000010111001…
…10111111100000
311220000002200011
410023212333200
5120424332120
610543334304
71511166151
oct413467740
9156002604
1070152160
11366653a1
121b5b1394
13116c2b70
149461928
15625ac5a
hex42e6fe0

70152160 has 96 divisors (see below), whose sum is σ = 184796640. Its totient is φ = 24987648.

The previous prime is 70152127. The next prime is 70152169. The reversal of 70152160 is 6125107.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70152169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59739 + ... + 60901.

It is an arithmetic number, because the mean of its divisors is an integer number (1924965).

Almost surely, 270152160 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 70152160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92398320).

70152160 is an abundant number, since it is smaller than the sum of its proper divisors (114644480).

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

70152160 is a wasteful number, since it uses less digits than its factorization.

70152160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1220 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 22.

The square root of 70152160 is about 8375.6886284054. The cubic root of 70152160 is about 412.4269304305.

Adding to 70152160 its reverse (6125107), we get a palindrome (76277267).

The spelling of 70152160 in words is "seventy million, one hundred fifty-two thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 29 32 40 52 58 65 80 104 116 130 145 160 208 232 260 290 377 416 464 520 580 754 928 1040 1160 1163 1508 1885 2080 2320 2326 3016 3770 4640 4652 5815 6032 7540 9304 11630 12064 15080 15119 18608 23260 30160 30238 33727 37216 46520 60320 60476 67454 75595 93040 120952 134908 151190 168635 186080 241904 269816 302380 337270 438451 483808 539632 604760 674540 876902 1079264 1209520 1349080 1753804 2192255 2419040 2698160 3507608 4384510 5396320 7015216 8769020 14030432 17538040 35076080 70152160