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10029108060 = 22325675571493
BaseRepresentation
bin10010101011100100…
…00000101101011100
3221212221112110212200
421111302000231130
5131014422424220
64335102331500
7503350004046
oct112562005534
927787473780
1010029108060
114287196364
121b3a889b90
13c3aa3c48a
146b1d7ca96
153da70c890
hex255c80b5c

10029108060 has 144 divisors (see below), whose sum is σ = 30951831456. Its totient is φ = 2628020736.

The previous prime is 10029108049. The next prime is 10029108073. The reversal of 10029108060 is 6080192001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6716674 + ... + 6718166.

It is an arithmetic number, because the mean of its divisors is an integer number (214943274).

Almost surely, 210029108060 is an apocalyptic number.

10029108060 is a gapful number since it is divisible by the number (10) 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 10029108060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15475915728).

10029108060 is an abundant number, since it is smaller than the sum of its proper divisors (20922723396).

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

10029108060 is a wasteful number, since it uses less digits than its factorization.

10029108060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132 (or 2127 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 10029108060 in words is "ten billion, twenty-nine million, one hundred eight thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 67 90 134 180 201 268 335 402 557 603 670 804 1005 1114 1206 1340 1493 1671 2010 2228 2412 2785 2986 3015 3342 4020 4479 5013 5570 5972 6030 6684 7465 8355 8958 10026 11140 12060 13437 14930 16710 17916 20052 22395 25065 26874 29860 33420 37319 44790 50130 53748 67185 74638 89580 100031 100260 111957 134370 149276 186595 200062 223914 268740 300093 335871 373190 400124 447828 500155 559785 600186 671742 746380 831601 900279 1000310 1119570 1200372 1343484 1500465 1663202 1679355 1800558 2000620 2239140 2494803 3000930 3326404 3358710 3601116 4158005 4501395 4989606 6001860 6717420 7484409 8316010 9002790 9979212 12474015 14968818 16632020 18005580 24948030 29937636 37422045 49896060 55717267 74844090 111434534 149688180 167151801 222869068 278586335 334303602 501455403 557172670 668607204 835759005 1002910806 1114345340 1671518010 2005821612 2507277015 3343036020 5014554030 10029108060