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103054160 = 24511181647
BaseRepresentation
bin1100010010001…
…11101101010000
321011220200201202
412021013231100
5202340213120
614120450332
72360642306
oct611075520
9234820652
10103054160
1153198130
122a6199a8
13184729c1
14d988276
1590a9875
hex6247b50

103054160 has 80 divisors (see below), whose sum is σ = 263233152. Its totient is φ = 37209600.

The previous prime is 103054151. The next prime is 103054201. The reversal of 103054160 is 61450301.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 158957 + ... + 159603.

Almost surely, 2103054160 is an apocalyptic number.

103054160 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 103054160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131616576).

103054160 is an abundant number, since it is smaller than the sum of its proper divisors (160178992).

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

103054160 is a wasteful number, since it uses less digits than its factorization.

103054160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 103054160 is about 10151.5594861085. The cubic root of 103054160 is about 468.8369614069.

The spelling of 103054160 in words is "one hundred three million, fifty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 181 220 362 440 647 724 880 905 1294 1448 1810 1991 2588 2896 3235 3620 3982 5176 6470 7117 7240 7964 9955 10352 12940 14234 14480 15928 19910 25880 28468 31856 35585 39820 51760 56936 71170 79640 113872 117107 142340 159280 234214 284680 468428 569360 585535 936856 1171070 1288177 1873712 2342140 2576354 4684280 5152708 6440885 9368560 10305416 12881770 20610832 25763540 51527080 103054160