Search a number
-
+
103073652 = 2232111761251
BaseRepresentation
bin1100010010011…
…00011101110100
321011221200110200
412021030131310
5202341324102
614121120500
72361053163
oct611143564
9234850420
10103073652
1153200840
122a629130
131847b836
14d9913da
1590b051c
hex624c774

103073652 has 144 divisors (see below), whose sum is σ = 307105344. Its totient is φ = 28800000.

The previous prime is 103073629. The next prime is 103073653. The reversal of 103073652 is 256370301.

It is a happy number.

103073652 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 7 + 3 + 652 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103073653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 410527 + ... + 410777.

It is an arithmetic number, because the mean of its divisors is an integer number (2132676).

Almost surely, 2103073652 is an apocalyptic number.

103073652 is a gapful number since it is divisible by the number (12) 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 103073652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153552672).

103073652 is an abundant number, since it is smaller than the sum of its proper divisors (204031692).

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

103073652 is a wasteful number, since it uses less digits than its factorization.

103073652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 27.

The square root of 103073652 is about 10152.5194902546. The cubic root of 103073652 is about 468.8665186609.

The spelling of 103073652 in words is "one hundred three million, seventy-three thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 61 66 68 99 102 122 132 153 183 187 198 204 244 251 306 366 374 396 502 549 561 612 671 732 748 753 1004 1037 1098 1122 1342 1506 1683 2013 2074 2196 2244 2259 2684 2761 3012 3111 3366 4026 4148 4267 4518 5522 6039 6222 6732 8052 8283 8534 9036 9333 11044 11407 12078 12444 12801 15311 16566 17068 18666 22814 24156 24849 25602 30622 33132 34221 37332 38403 45628 45933 46937 49698 51204 61244 68442 76806 91866 93874 99396 102663 136884 137799 140811 153612 168421 183732 187748 205326 260287 275598 281622 336842 410652 422433 505263 520574 551196 563244 673684 780861 844866 1010526 1041148 1515789 1561722 1689732 2021052 2342583 2863157 3031578 3123444 4685166 5726314 6063156 8589471 9370332 11452628 17178942 25768413 34357884 51536826 103073652