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61240200 = 23352722083
BaseRepresentation
bin1110100110011…
…1001110001000
311021020022202120
43221213032020
5111134141300
610024331240
71342350600
oct351471610
9137208676
1061240200
113162873a
1218613b20
13c8c2608
1481c1c00
15559a3a0
hex3a67388

61240200 has 144 divisors (see below), whose sum is σ = 220945680. Its totient is φ = 13991040.

The previous prime is 61240187. The next prime is 61240219. The reversal of 61240200 is 204216.

61240200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 61240200.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 28359 + ... + 30441.

It is an arithmetic number, because the mean of its divisors is an integer number (1534345).

Almost surely, 261240200 is an apocalyptic number.

61240200 is a gapful number since it is divisible by the number (60) 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 61240200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110472840).

61240200 is an abundant number, since it is smaller than the sum of its proper divisors (159705480).

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

61240200 is a wasteful number, since it uses less digits than its factorization.

61240200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2116 (or 2100 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 61240200 is about 7825.6117971696. The cubic root of 61240200 is about 394.1657337402.

Adding to 61240200 its reverse (204216), we get a palindrome (61444416).

The spelling of 61240200 in words is "sixty-one million, two hundred forty thousand, two hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 49 50 56 60 70 75 84 98 100 105 120 140 147 150 168 175 196 200 210 245 280 294 300 350 392 420 490 525 588 600 700 735 840 980 1050 1176 1225 1400 1470 1960 2083 2100 2450 2940 3675 4166 4200 4900 5880 6249 7350 8332 9800 10415 12498 14581 14700 16664 20830 24996 29162 29400 31245 41660 43743 49992 52075 58324 62490 72905 83320 87486 102067 104150 116648 124980 145810 156225 174972 204134 208300 218715 249960 291620 306201 312450 349944 364525 408268 416600 437430 510335 583240 612402 624900 729050 816536 874860 1020670 1093575 1224804 1249800 1458100 1531005 1749720 2041340 2187150 2449608 2551675 2916200 3062010 4082680 4374300 5103350 6124020 7655025 8748600 10206700 12248040 15310050 20413400 30620100 61240200