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210240140 = 2251129311063
BaseRepresentation
bin11001000100000…
…00001010001100
3112122121022020212
430202000022030
5412310141030
632510101552
75132004005
oct1442001214
9478538225
10210240140
11a8747590
125a4aa8b8
1334731266
141dcca1ac
15136cd595
hexc88028c

210240140 has 96 divisors (see below), whose sum is σ = 514805760. Its totient is φ = 71366400.

The previous prime is 210240137. The next prime is 210240157. The reversal of 210240140 is 41042012.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197249 + ... + 198311.

It is an arithmetic number, because the mean of its divisors is an integer number (5362560).

Almost surely, 2210240140 is an apocalyptic number.

210240140 is a gapful number since it is divisible by the number (20) 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 210240140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257402880).

210240140 is an abundant number, since it is smaller than the sum of its proper divisors (304565620).

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

210240140 is a wasteful number, since it uses less digits than its factorization.

210240140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 210240140 is about 14499.6599960137. The cubic root of 210240140 is about 594.6186761786.

Adding to 210240140 its reverse (41042012), we get a palindrome (251282152).

The spelling of 210240140 in words is "two hundred ten million, two hundred forty thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 29 31 44 55 58 62 110 116 124 145 155 220 290 310 319 341 580 620 638 682 899 1063 1276 1364 1595 1705 1798 2126 3190 3410 3596 4252 4495 5315 6380 6820 8990 9889 10630 11693 17980 19778 21260 23386 30827 32953 39556 46772 49445 58465 61654 65906 98890 116930 123308 131812 154135 164765 197780 233860 308270 329530 339097 362483 616540 659060 678194 724966 955637 1356388 1449932 1695485 1812415 1911274 3390970 3624830 3822548 4778185 6781940 7249660 9556370 10512007 19112740 21024014 42048028 52560035 105120070 210240140