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103353640 = 23513215289
BaseRepresentation
bin1100010100100…
…00110100101000
321012110220112121
412022100310220
5202424304030
614131121024
72363330365
oct612206450
9235426477
10103353640
1153382135
122a743174
1318549100
14da2546c
15911847a
hex6290d28

103353640 has 48 divisors (see below), whose sum is σ = 251826300. Its totient is φ = 38158848.

The previous prime is 103353583. The next prime is 103353641. The reversal of 103353640 is 46353301.

It can be written as a sum of positive squares in 6 ways, for example, as 14730244 + 88623396 = 3838^2 + 9414^2 .

It is not an unprimeable number, because it can be changed into a prime (103353641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 885 + ... + 14404.

Almost surely, 2103353640 is an apocalyptic number.

103353640 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 103353640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125913150).

103353640 is an abundant number, since it is smaller than the sum of its proper divisors (148472660).

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

103353640 is a wasteful number, since it uses less digits than its factorization.

103353640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15326 (or 15309 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 25.

The square root of 103353640 is about 10166.2992283328. The cubic root of 103353640 is about 469.2906759145.

The spelling of 103353640 in words is "one hundred three million, three hundred fifty-three thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 520 676 845 1352 1690 3380 6760 15289 30578 61156 76445 122312 152890 198757 305780 397514 611560 795028 993785 1590056 1987570 2583841 3975140 5167682 7950280 10335364 12919205 20670728 25838410 51676820 103353640