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101660328 = 233271121667
BaseRepresentation
bin1100000111100…
…11011010101000
321002021212202100
412003303122220
5202011112303
614030533400
72343045540
oct603633250
9232255670
10101660328
1152425a00
122a067260
13180a5453
14d704320
158dd18a3
hex60f36a8

101660328 has 144 divisors (see below), whose sum is σ = 346076640. Its totient is φ = 26389440.

The previous prime is 101660261. The next prime is 101660353. The reversal of 101660328 is 823066101.

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, 60151 + ... + 61817.

It is an arithmetic number, because the mean of its divisors is an integer number (2403310).

Almost surely, 2101660328 is an apocalyptic number.

101660328 is a gapful number since it is divisible by the number (18) 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 101660328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173038320).

101660328 is an abundant number, since it is smaller than the sum of its proper divisors (244416312).

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

101660328 is a wasteful number, since it uses less digits than its factorization.

101660328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1708 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 101660328 is about 10082.6746451524. The cubic root of 101660328 is about 466.7136492380.

The spelling of 101660328 in words is "one hundred one million, six hundred sixty thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 18 21 22 24 28 33 36 42 44 56 63 66 72 77 84 88 99 121 126 132 154 168 198 231 242 252 264 308 363 396 462 484 504 616 693 726 792 847 924 968 1089 1386 1452 1667 1694 1848 2178 2541 2772 2904 3334 3388 4356 5001 5082 5544 6668 6776 7623 8712 10002 10164 11669 13336 15003 15246 18337 20004 20328 23338 30006 30492 35007 36674 40008 46676 55011 60012 60984 70014 73348 93352 105021 110022 120024 128359 140028 146696 165033 201707 210042 220044 256718 280056 330066 385077 403414 420084 440088 513436 605121 660132 770154 806828 840168 1026872 1155231 1210242 1320264 1411949 1540308 1613656 1815363 2310462 2420484 2823898 3080616 3630726 4235847 4620924 4840968 5647796 7261452 8471694 9241848 11295592 12707541 14522904 16943388 25415082 33886776 50830164 101660328