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213136140 = 223571729851
BaseRepresentation
bin11001011010000…
…11001100001100
3112212001102211010
430231003030030
5414030324030
633052125220
75165425110
oct1455031414
9485042733
10213136140
11aa345378
125b466810
1335206479
1420441740
1513aa16b0
hexcb4330c

213136140 has 96 divisors (see below), whose sum is σ = 722179584. Its totient is φ = 45849600.

The previous prime is 213136139. The next prime is 213136141. The reversal of 213136140 is 41631312.

It is an interprime number because it is at equal distance from previous prime (213136139) and next prime (213136141).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (213136141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7786 + ... + 22065.

It is an arithmetic number, because the mean of its divisors is an integer number (7522704).

Almost surely, 2213136140 is an apocalyptic number.

213136140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213136140 is an abundant number, since it is smaller than the sum of its proper divisors (509043444).

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

213136140 is a wasteful number, since it uses less digits than its factorization.

213136140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29887 (or 29885 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 213136140 is about 14599.1828538449. The cubic root of 213136140 is about 597.3364712989.

Adding to 213136140 its reverse (41631312), we get a palindrome (254767452).

The spelling of 213136140 in words is "two hundred thirteen million, one hundred thirty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 17 20 21 28 30 34 35 42 51 60 68 70 84 85 102 105 119 140 170 204 210 238 255 340 357 420 476 510 595 714 1020 1190 1428 1785 2380 3570 7140 29851 59702 89553 119404 149255 179106 208957 298510 358212 417914 447765 507467 597020 626871 835828 895530 1014934 1044785 1253742 1522401 1791060 2029868 2089570 2507484 2537335 3044802 3134355 3552269 4179140 5074670 6089604 6268710 7104538 7612005 10149340 10656807 12537420 14209076 15224010 17761345 21313614 30448020 35522690 42627228 53284035 71045380 106568070 213136140