Search a number
-
+
107021424 = 24331711013
BaseRepresentation
bin1100110000100…
…00010001110000
321110101020210110
412120100101300
5204344141144
614341501320
72436444546
oct630202160
9243336713
10107021424
1155457864
122ba11840
13192316b3
14102dbd96
1595e00b9
hex6610470

107021424 has 80 divisors (see below), whose sum is σ = 289695744. Its totient is φ = 34003200.

The previous prime is 107021371. The next prime is 107021437. The reversal of 107021424 is 424120701.

It is a happy number.

It is a super-2 number, since 2×1070214242 = 22907170389975552, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 107021424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105142 + ... + 106154.

Almost surely, 2107021424 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 107021424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144847872).

107021424 is an abundant number, since it is smaller than the sum of its proper divisors (182674320).

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

107021424 is a wasteful number, since it uses less digits than its factorization.

107021424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 107021424 is about 10345.1159490844. The cubic root of 107021424 is about 474.7776229622. Note that the first 3 decimals are identical.

The spelling of 107021424 in words is "one hundred seven million, twenty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 71 93 124 142 186 213 248 284 372 426 496 568 744 852 1013 1136 1488 1704 2026 2201 3039 3408 4052 4402 6078 6603 8104 8804 12156 13206 16208 17608 24312 26412 31403 35216 48624 52824 62806 71923 94209 105648 125612 143846 188418 215769 251224 287692 376836 431538 502448 575384 753672 863076 1150768 1507344 1726152 2229613 3452304 4459226 6688839 8918452 13377678 17836904 26755356 35673808 53510712 107021424