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213514040 = 2357175181
BaseRepresentation
bin11001011100111…
…11011100111000
3112212202122012102
430232133130320
5414124422130
633104202532
75201560625
oct1456373470
9485678172
10213514040
11aa583293
125b609448
133530948c
14204dd34c
1513b28645
hexcb9f738

213514040 has 32 divisors (see below), whose sum is σ = 487179360. Its totient is φ = 84201600.

The previous prime is 213514031. The next prime is 213514061. The reversal of 213514040 is 40415312.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34751 + ... + 40430.

It is an arithmetic number, because the mean of its divisors is an integer number (15224355).

Almost surely, 2213514040 is an apocalyptic number.

213514040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213514040 is an abundant number, since it is smaller than the sum of its proper divisors (273665320).

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

213514040 is a wasteful number, since it uses less digits than its factorization.

213514040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75263 (or 75259 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 213514040 is about 14612.1196272136. The cubic root of 213514040 is about 597.6892977004.

Adding to 213514040 its reverse (40415312), we get a palindrome (253929352).

The spelling of 213514040 in words is "two hundred thirteen million, five hundred fourteen thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 71 142 284 355 568 710 1420 2840 75181 150362 300724 375905 601448 751810 1503620 3007240 5337851 10675702 21351404 26689255 42702808 53378510 106757020 213514040