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100691424 = 253523563
BaseRepresentation
bin1100000000001…
…10110111100000
321000110122200000
412000012313200
5201234111144
613554100000
72331602001
oct600066740
9230418600
10100691424
1151923a59
122987a600
1317b26432
14d5311a8
158c8e769
hex6006de0

100691424 has 144 divisors (see below), whose sum is σ = 310407552. Its totient is φ = 32047488.

The previous prime is 100691389. The next prime is 100691429. The reversal of 100691424 is 424196001.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100691429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178567 + ... + 179129.

It is an arithmetic number, because the mean of its divisors is an integer number (2155608).

Almost surely, 2100691424 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 100691424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155203776).

100691424 is an abundant number, since it is smaller than the sum of its proper divisors (209716128).

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

100691424 is an equidigital number, since it uses as much as digits as its factorization.

100691424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 591 counting only the distinct ones).

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

The square root of 100691424 is about 10034.5116473100. The cubic root of 100691424 is about 465.2261958821.

The spelling of 100691424 in words is "one hundred million, six hundred ninety-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 81 92 96 108 138 144 162 184 207 216 243 276 288 324 368 414 432 486 552 563 621 648 736 828 864 972 1104 1126 1242 1296 1656 1689 1863 1944 2208 2252 2484 2592 3312 3378 3726 3888 4504 4968 5067 5589 6624 6756 7452 7776 9008 9936 10134 11178 12949 13512 14904 15201 18016 19872 20268 22356 25898 27024 29808 30402 38847 40536 44712 45603 51796 54048 59616 60804 77694 81072 89424 91206 103592 116541 121608 136809 155388 162144 178848 182412 207184 233082 243216 273618 310776 349623 364824 414368 466164 486432 547236 621552 699246 729648 932328 1048869 1094472 1243104 1398492 1459296 1864656 2097738 2188944 2796984 3146607 3729312 4195476 4377888 5593968 6293214 8390952 11187936 12586428 16781904 25172856 33563808 50345712 100691424