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145070160 = 24352932063
BaseRepresentation
bin10001010010110…
…01100001010000
3101002222022211220
420221121201100
5244114221120
622221205040
73411035034
oct1051314120
9332868756
10145070160
11749853a4
1240700780
1324094041
14153a41c4
15cb08b40
hex8a59850

145070160 has 80 divisors (see below), whose sum is σ = 451471104. Its totient is φ = 38534656.

The previous prime is 145070147. The next prime is 145070161. The reversal of 145070160 is 61070541.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 145070160.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145070161) 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, 69289 + ... + 71351.

Almost surely, 2145070160 is an apocalyptic number.

145070160 is a gapful number since it is divisible by the number (10) 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 145070160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225735552).

145070160 is an abundant number, since it is smaller than the sum of its proper divisors (306400944).

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

145070160 is a wasteful number, since it uses less digits than its factorization.

145070160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2372 (or 2366 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

The square root of 145070160 is about 12044.5074619098. The cubic root of 145070160 is about 525.4435073164.

The spelling of 145070160 in words is "one hundred forty-five million, seventy thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 293 586 879 1172 1465 1758 2063 2344 2930 3516 4126 4395 4688 5860 6189 7032 8252 8790 10315 11720 12378 14064 16504 17580 20630 23440 24756 30945 33008 35160 41260 49512 61890 70320 82520 99024 123780 165040 247560 495120 604459 1208918 1813377 2417836 3022295 3626754 4835672 6044590 7253508 9066885 9671344 12089180 14507016 18133770 24178360 29014032 36267540 48356720 72535080 145070160