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215010040 = 23572163673
BaseRepresentation
bin11001101000011…
…00101011111000
3112222120122022211
430310030223320
5420020310130
633200224504
75220361300
oct1464145370
9488518284
10215010040
11100405253
126000b134
133571139b
14207ac600
1513d21a2a
hexcd0caf8

215010040 has 96 divisors (see below), whose sum is σ = 567049680. Its totient is φ = 73156608.

The previous prime is 215010011. The next prime is 215010041. The reversal of 215010040 is 40010512.

215010040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 215010040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215010041) 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, 319144 + ... + 319816.

Almost surely, 2215010040 is an apocalyptic number.

215010040 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 215010040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283524840).

215010040 is an abundant number, since it is smaller than the sum of its proper divisors (352039640).

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

215010040 is a wasteful number, since it uses less digits than its factorization.

215010040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 850 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 215010040 is about 14663.2206557768. The cubic root of 215010040 is about 599.0819664441.

Adding to 215010040 its reverse (40010512), we get a palindrome (255020552).

The spelling of 215010040 in words is "two hundred fifteen million, ten thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 163 196 245 280 326 392 490 652 673 815 980 1141 1304 1346 1630 1960 2282 2692 3260 3365 4564 4711 5384 5705 6520 6730 7987 9128 9422 11410 13460 15974 18844 22820 23555 26920 31948 32977 37688 39935 45640 47110 63896 65954 79870 94220 109699 131908 159740 164885 188440 219398 263816 319480 329770 438796 548495 659540 767893 877592 1096990 1319080 1535786 2193980 3071572 3839465 4387960 5375251 6143144 7678930 10750502 15357860 21501004 26876255 30715720 43002008 53752510 107505020 215010040