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542071170 = 2335109113163
BaseRepresentation
bin100000010011110…
…101100110000010
31101210000001212000
4200103311212002
52102232234140
6125442244430
716301346264
oct4023654602
91353001760
10542071170
11258a92103
12131656716
13883c5594
1451dc7b34
15328c8a30
hex204f5982

542071170 has 128 divisors (see below), whose sum is σ = 1480723200. Its totient is φ = 141087744.

The previous prime is 542071169. The next prime is 542071183. The reversal of 542071170 is 71170245.

542071170 is a `hidden beast` number, since 5 + 420 + 71 + 170 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3325509 + ... + 3325671.

It is an arithmetic number, because the mean of its divisors is an integer number (11568150).

Almost surely, 2542071170 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542071170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740361600).

542071170 is an abundant number, since it is smaller than the sum of its proper divisors (938652030).

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

542071170 is a wasteful number, since it uses less digits than its factorization.

542071170 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 542071170 is about 23282.4219101021. The cubic root of 542071170 is about 815.3650716190.

The spelling of 542071170 in words is "five hundred forty-two million, seventy-one thousand, one hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 109 113 135 163 218 226 270 326 327 339 489 545 565 654 678 815 978 981 1017 1090 1130 1467 1630 1635 1695 1962 2034 2445 2934 2943 3051 3270 3390 4401 4890 4905 5085 5886 6102 7335 8802 9810 10170 12317 14670 14715 15255 17767 18419 22005 24634 29430 30510 35534 36838 36951 44010 53301 55257 61585 73902 88835 92095 106602 110514 110853 123170 159903 165771 177670 184190 184755 221706 266505 276285 319806 331542 332559 369510 479709 497313 533010 552570 554265 665118 799515 828855 959418 994626 1108530 1599030 1657710 1662795 2007671 2398545 2486565 3325590 4015342 4797090 4973130 6023013 10038355 12046026 18069039 20076710 30115065 36138078 54207117 60230130 90345195 108414234 180690390 271035585 542071170