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70542000 = 2432533919
BaseRepresentation
bin1000011010001…
…10001010110000
311220201220102200
410031012022300
5121024321000
610555543200
71514411544
oct415061260
9156656380
1070542000
1136901281
121b75ab00
13117cb439
149523a24
1562d6500
hex43462b0

70542000 has 120 divisors (see below), whose sum is σ = 246442560. Its totient is φ = 18806400.

The previous prime is 70541983. The next prime is 70542001. The reversal of 70542000 is 24507.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (70542001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16041 + ... + 19959.

It is an arithmetic number, because the mean of its divisors is an integer number (2053688).

Almost surely, 270542000 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 70542000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123221280).

70542000 is an abundant number, since it is smaller than the sum of its proper divisors (175900560).

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

70542000 is a wasteful number, since it uses less digits than its factorization.

70542000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3948 (or 3929 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 18.

The square root of 70542000 is about 8398.9285030890. The cubic root of 70542000 is about 413.1894805221.

Adding to 70542000 its reverse (24507), we get a palindrome (70566507).

The spelling of 70542000 in words is "seventy million, five hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 720 750 900 1000 1125 1200 1500 1800 2000 2250 3000 3600 3919 4500 6000 7838 9000 11757 15676 18000 19595 23514 31352 35271 39190 47028 58785 62704 70542 78380 94056 97975 117570 141084 156760 176355 188112 195950 235140 282168 293925 313520 352710 391900 470280 489875 564336 587850 705420 783800 881775 940560 979750 1175700 1410840 1469625 1567600 1763550 1959500 2351400 2821680 2939250 3527100 3919000 4408875 4702800 5878500 7054200 7838000 8817750 11757000 14108400 17635500 23514000 35271000 70542000