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106927040 = 2651137821
BaseRepresentation
bin1100101111110…
…01001111000000
321110012110022202
412113321033000
5204333131130
614335452332
72435602433
oct627711700
9243173282
10106927040
11553a2960
122b9870a8
13191ca74c
14102b581a
1595c2145
hex65f93c0

106927040 has 112 divisors (see below), whose sum is σ = 285621984. Its totient is φ = 37785600.

The previous prime is 106927039. The next prime is 106927043. The reversal of 106927040 is 40729601.

It is a super-2 number, since 2×1069270402 = 22866783766323200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106926994 and 106927012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106927043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 129830 + ... + 130650.

Almost surely, 2106927040 is an apocalyptic number.

106927040 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 106927040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142810992).

106927040 is an abundant number, since it is smaller than the sum of its proper divisors (178694944).

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

106927040 is a wasteful number, since it uses less digits than its factorization.

106927040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 106927040 is about 10340.5531766922. The cubic root of 106927040 is about 474.6380104458.

The spelling of 106927040 in words is "one hundred six million, nine hundred twenty-seven thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 37 40 44 55 64 74 80 88 110 148 160 176 185 220 296 320 352 370 407 440 592 704 740 814 821 880 1184 1480 1628 1642 1760 2035 2368 2960 3256 3284 3520 4070 4105 5920 6512 6568 8140 8210 9031 11840 13024 13136 16280 16420 18062 26048 26272 30377 32560 32840 36124 45155 52544 60754 65120 65680 72248 90310 121508 130240 131360 144496 151885 180620 243016 262720 288992 303770 334147 361240 486032 577984 607540 668294 722480 972064 1215080 1336588 1444960 1670735 1944128 2430160 2673176 2889920 3341470 4860320 5346352 6682940 9720640 10692704 13365880 21385408 26731760 53463520 106927040