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10742160 = 24351113313
BaseRepresentation
bin101000111110…
…100110010000
3202012202110210
4220332212100
510222222120
61022124120
7160210152
oct50764620
922182423
1010742160
116077820
123720640
1322c1610
1415d8ad2
15e22ce0
hexa3e990

10742160 has 160 divisors (see below), whose sum is σ = 39247488. Its totient is φ = 2396160.

The previous prime is 10742159. The next prime is 10742197. The reversal of 10742160 is 6124701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34164 + ... + 34476.

Almost surely, 210742160 is an apocalyptic number.

10742160 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 10742160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19623744).

10742160 is an abundant number, since it is smaller than the sum of its proper divisors (28505328).

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

10742160 is a wasteful number, since it uses less digits than its factorization.

10742160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 10742160 is about 3277.5234552936. The cubic root of 10742160 is about 220.6465826725.

Adding to 10742160 its reverse (6124701), we get a palindrome (16866861).

The spelling of 10742160 in words is "ten million, seven hundred forty-two thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 33 39 40 44 48 52 55 60 65 66 78 80 88 104 110 120 130 132 143 156 165 176 195 208 220 240 260 264 286 312 313 330 390 429 440 520 528 572 624 626 660 715 780 858 880 939 1040 1144 1252 1320 1430 1560 1565 1716 1878 2145 2288 2504 2640 2860 3120 3130 3432 3443 3756 4069 4290 4695 5008 5720 6260 6864 6886 7512 8138 8580 9390 10329 11440 12207 12520 13772 15024 16276 17160 17215 18780 20345 20658 24414 25040 27544 32552 34320 34430 37560 40690 41316 44759 48828 51645 55088 61035 65104 68860 75120 81380 82632 89518 97656 103290 122070 134277 137720 162760 165264 179036 195312 206580 223795 244140 268554 275440 325520 358072 413160 447590 488280 537108 671385 716144 826320 895180 976560 1074216 1342770 1790360 2148432 2685540 3580720 5371080 10742160