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649204140 = 2235135914107
BaseRepresentation
bin100110101100100…
…001000110101100
31200020120222122210
4212230201012230
52312144013030
6144230410420
722042100304
oct4654410654
91606528583
10649204140
11303505752
12161500a10
13a4665980
1462314604
153bedbbb0
hex26b211ac

649204140 has 96 divisors (see below), whose sum is σ = 1990920960. Its totient is φ = 157084416.

The previous prime is 649204117. The next prime is 649204169. The reversal of 649204140 is 41402946.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 649204098 and 649204107.

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 31 ways as a sum of consecutive naturals, for example, 38967 + ... + 53073.

It is an arithmetic number, because the mean of its divisors is an integer number (20738760).

Almost surely, 2649204140 is an apocalyptic number.

649204140 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 649204140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995460480).

649204140 is an abundant number, since it is smaller than the sum of its proper divisors (1341716820).

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

649204140 is a wasteful number, since it uses less digits than its factorization.

649204140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14191 (or 14189 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 649204140 is about 25479.4846886667. The cubic root of 649204140 is about 865.8854198973.

The spelling of 649204140 in words is "six hundred forty-nine million, two hundred four thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 59 60 65 78 118 130 156 177 195 236 260 295 354 390 590 708 767 780 885 1180 1534 1770 2301 3068 3540 3835 4602 7670 9204 11505 14107 15340 23010 28214 42321 46020 56428 70535 84642 141070 169284 183391 211605 282140 366782 423210 550173 733564 832313 846420 916955 1100346 1664626 1833910 2200692 2496939 2750865 3329252 3667820 4161565 4993878 5501730 8323130 9987756 10820069 11003460 12484695 16646260 21640138 24969390 32460207 43280276 49938780 54100345 64920414 108200690 129840828 162301035 216401380 324602070 649204140