Search a number
-
+
103472040 = 23357199619
BaseRepresentation
bin1100010101011…
…01101110101000
321012200220221210
412022231232220
5202442101130
614133433120
72364332520
oct612555650
9235626853
10103472040
1153453091
122a79b7a0
131858ac79
14da56680
15913d5b0
hex62adba8

103472040 has 128 divisors (see below), whose sum is σ = 357120000. Its totient is φ = 23493888.

The previous prime is 103472021. The next prime is 103472041. The reversal of 103472040 is 40274301.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 103471998 and 103472016.

It is not an unprimeable number, because it can be changed into a prime (103472041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166851 + ... + 167469.

It is an arithmetic number, because the mean of its divisors is an integer number (2790000).

Almost surely, 2103472040 is an apocalyptic number.

103472040 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 103472040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178560000).

103472040 is an abundant number, since it is smaller than the sum of its proper divisors (253647960).

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

103472040 is a wasteful number, since it uses less digits than its factorization.

103472040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 103472040 is about 10172.1207228385. The cubic root of 103472040 is about 469.4698110723.

The spelling of 103472040 in words is "one hundred three million, four hundred seventy-two thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 199 210 280 398 420 597 619 796 840 995 1194 1238 1393 1592 1857 1990 2388 2476 2786 2985 3095 3714 3980 4179 4333 4776 4952 5572 5970 6190 6965 7428 7960 8358 8666 9285 11144 11940 12380 12999 13930 14856 16716 17332 18570 20895 21665 23880 24760 25998 27860 33432 34664 37140 41790 43330 51996 55720 64995 74280 83580 86660 103992 123181 129990 167160 173320 246362 259980 369543 492724 519960 615905 739086 862267 985448 1231810 1478172 1724534 1847715 2463620 2586801 2956344 3449068 3695430 4311335 4927240 5173602 6898136 7390860 8622670 10347204 12934005 14781720 17245340 20694408 25868010 34490680 51736020 103472040