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70087140 = 223351071213
BaseRepresentation
bin1000010110101…
…11000111100100
311212212210111000
410023113013210
5120420242030
610542113300
71510505454
oct413270744
9155783430
1070087140
1136620562
121b57b830
131169c3a6
149445d64
156246860
hex42d71e4

70087140 has 96 divisors (see below), whose sum is σ = 220268160. Its totient is φ = 18499968.

The previous prime is 70087123. The next prime is 70087169. The reversal of 70087140 is 4178007.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57174 + ... + 58386.

It is an arithmetic number, because the mean of its divisors is an integer number (2294460).

Almost surely, 270087140 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 70087140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110134080).

70087140 is an abundant number, since it is smaller than the sum of its proper divisors (150181020).

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

70087140 is a wasteful number, since it uses less digits than its factorization.

70087140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 70087140 is about 8371.8062567166. The cubic root of 70087140 is about 412.2994727821.

The spelling of 70087140 in words is "seventy million, eighty-seven thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 107 108 135 180 214 270 321 428 535 540 642 963 1070 1213 1284 1605 1926 2140 2426 2889 3210 3639 3852 4815 4852 5778 6065 6420 7278 9630 10917 11556 12130 14445 14556 18195 19260 21834 24260 28890 32751 36390 43668 54585 57780 65502 72780 109170 129791 131004 163755 218340 259582 327510 389373 519164 648955 655020 778746 1168119 1297910 1557492 1946865 2336238 2595820 3504357 3893730 4672476 5840595 7008714 7787460 11681190 14017428 17521785 23362380 35043570 70087140