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215618140 = 2251747103131
BaseRepresentation
bin11001101101000…
…01001001011100
3120000201112111001
430312201021130
5420144240030
633221240044
75225503213
oct1466411134
9500645431
10215618140
11100790111
1260263024
13358950ca
14208ca07a
1513de1cca
hexcda125c

215618140 has 96 divisors (see below), whose sum is σ = 498161664. Its totient is φ = 78074880.

The previous prime is 215618119. The next prime is 215618149. The reversal of 215618140 is 41816512.

It is a junction number, because it is equal to n+sod(n) for n = 215618099 and 215618108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (215618149) by changing a digit.

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, 1645875 + ... + 1646005.

It is an arithmetic number, because the mean of its divisors is an integer number (5189184).

Almost surely, 2215618140 is an apocalyptic number.

215618140 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 215618140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249080832).

215618140 is an abundant number, since it is smaller than the sum of its proper divisors (282543524).

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

215618140 is a wasteful number, since it uses less digits than its factorization.

215618140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The square root of 215618140 is about 14683.9415689385. The cubic root of 215618140 is about 599.6462173633.

The spelling of 215618140 in words is "two hundred fifteen million, six hundred eighteen thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 47 68 85 94 103 131 170 188 206 235 262 340 412 470 515 524 655 799 940 1030 1310 1598 1751 2060 2227 2620 3196 3502 3995 4454 4841 6157 7004 7990 8755 8908 9682 11135 12314 13493 15980 17510 19364 22270 24205 24628 26986 30785 35020 44540 48410 53972 61570 67465 82297 96820 104669 123140 134930 164594 209338 229381 269860 329188 411485 418676 458762 523345 634171 822970 917524 1046690 1146905 1268342 1645940 2093380 2293810 2536684 3170855 4587620 6341710 10780907 12683420 21561814 43123628 53904535 107809070 215618140