Search a number
-
+
103161216 = 2732331153
BaseRepresentation
bin1100010011000…
…01110110000000
321012010010120210
412021201312000
5202402124331
614123034120
72361566364
oct611416600
9235103523
10103161216
1153260604
122a66b940
13184ac652
14d9b52a4
1590cb446
hex6261d80

103161216 has 64 divisors (see below), whose sum is σ = 275436720. Its totient is φ = 34209792.

The previous prime is 103161209. The next prime is 103161221. The reversal of 103161216 is 612161301.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 103161192 and 103161201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 88896 + ... + 90048.

Almost surely, 2103161216 is an apocalyptic number.

103161216 is a gapful number since it is divisible by the number (16) 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 103161216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137718360).

103161216 is an abundant number, since it is smaller than the sum of its proper divisors (172275504).

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

103161216 is a wasteful number, since it uses less digits than its factorization.

103161216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 103161216 is about 10156.8310018430. The cubic root of 103161216 is about 468.9992528967. Note that the first 3 decimals are identical.

The spelling of 103161216 in words is "one hundred three million, one hundred sixty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 233 384 466 699 932 1153 1398 1864 2306 2796 3459 3728 4612 5592 6918 7456 9224 11184 13836 14912 18448 22368 27672 29824 36896 44736 55344 73792 89472 110688 147584 221376 268649 442752 537298 805947 1074596 1611894 2149192 3223788 4298384 6447576 8596768 12895152 17193536 25790304 34387072 51580608 103161216