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3640654136 = 237331127337
BaseRepresentation
bin1101100011111111…
…1111100100111000
3100101201112101121002
43120333333210320
524424001413021
61401131504132
7156135023000
oct33077774470
910351471532
103640654136
1115a9066379
128572b8048
13460345622
14267733000
1516494250b
hexd8fff938

3640654136 has 128 divisors (see below), whose sum is σ = 8306688000. Its totient is φ = 1493614080.

The previous prime is 3640654117. The next prime is 3640654139. The reversal of 3640654136 is 6314560463.

It is a self number, because there is not a number n which added to its sum of digits gives 3640654136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3640654139) 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, 10802960 + ... + 10803296.

It is an arithmetic number, because the mean of its divisors is an integer number (64896000).

Almost surely, 23640654136 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3640654136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4153344000).

3640654136 is an abundant number, since it is smaller than the sum of its proper divisors (4666033864).

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

3640654136 is a wasteful number, since it uses less digits than its factorization.

3640654136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 38.

The square root of 3640654136 is about 60337.8333717743. The cubic root of 3640654136 is about 1538.3664772540.

The spelling of 3640654136 in words is "three billion, six hundred forty million, six hundred fifty-four thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 28 31 49 56 62 98 124 127 196 217 248 254 337 343 392 434 508 674 686 868 889 1016 1348 1372 1519 1736 1778 2359 2696 2744 3038 3556 3937 4718 6076 6223 7112 7874 9436 10447 10633 12152 12446 15748 16513 18872 20894 21266 24892 27559 31496 33026 41788 42532 42799 43561 49784 55118 66052 73129 83576 85064 85598 87122 110236 115591 132104 146258 171196 174244 192913 220472 231182 292516 299593 342392 348488 385826 462364 511903 585032 599186 771652 924728 1023806 1198372 1326769 1350391 1543304 2047612 2097151 2396744 2653538 2700782 3583321 4095224 4194302 5307076 5401564 7166642 8388604 9287383 10614152 10803128 14333284 14680057 16777208 18574766 28666568 29360114 37149532 58720228 65011681 74299064 117440456 130023362 260046724 455081767 520093448 910163534 1820327068 3640654136