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107743284 = 2236113359
BaseRepresentation
bin1100110110000…
…00100000110100
321111201221000000
412123000200310
5210040241114
614405151300
72445542235
oct633004064
9244657000
10107743284
1155900140
12300bb530
131942512c
141044908c
1596d3e09
hex66c0834

107743284 has 84 divisors (see below), whose sum is σ = 308488320. Its totient is φ = 32639760.

The previous prime is 107743271. The next prime is 107743289. The reversal of 107743284 is 482347701.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107743289) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 30397 + ... + 33755.

It is an arithmetic number, because the mean of its divisors is an integer number (3672480).

Almost surely, 2107743284 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 107743284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154244160).

107743284 is an abundant number, since it is smaller than the sum of its proper divisors (200745036).

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

107743284 is a wasteful number, since it uses less digits than its factorization.

107743284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3392 (or 3375 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 107743284 is about 10379.9462426354. The cubic root of 107743284 is about 475.8426909976.

The spelling of 107743284 in words is "one hundred seven million, seven hundred forty-three thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 243 297 324 396 486 594 729 891 972 1188 1458 1782 2673 2916 3359 3564 5346 6718 8019 10077 10692 13436 16038 20154 30231 32076 36949 40308 60462 73898 90693 110847 120924 147796 181386 221694 272079 332541 362772 443388 544158 665082 816237 997623 1088316 1330164 1632474 1995246 2448711 2992869 3264948 3990492 4897422 5985738 8978607 9794844 11971476 17957214 26935821 35914428 53871642 107743284