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103014420 = 223579103211
BaseRepresentation
bin1100010001111…
…10000000010100
321011211200012220
412020332000110
5202332430140
614115542340
72360415405
oct610760024
9234750186
10103014420
1153170293
122a5ba9b0
131845a8a2
14d9779ac
15909cbd0
hex623e014

103014420 has 96 divisors (see below), whose sum is σ = 296325120. Its totient is φ = 26732160.

The previous prime is 103014419. The next prime is 103014433. The reversal of 103014420 is 24410301.

103014420 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1030144202 = 21223941455872800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

103014420 is strictly pandigital in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 103014420.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 488115 + ... + 488325.

It is an arithmetic number, because the mean of its divisors is an integer number (3086720).

Almost surely, 2103014420 is an apocalyptic number.

103014420 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 103014420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148162560).

103014420 is an abundant number, since it is smaller than the sum of its proper divisors (193310700).

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

103014420 is a wasteful number, since it uses less digits than its factorization.

103014420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 103014420 is about 10149.6019626387. The cubic root of 103014420 is about 468.7766889693.

Adding to 103014420 its reverse (24410301), we get a palindrome (127424721).

The spelling of 103014420 in words is "one hundred three million, fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 79 103 158 206 211 237 309 316 395 412 422 474 515 618 633 790 844 948 1030 1055 1185 1236 1266 1545 1580 2060 2110 2370 2532 3090 3165 4220 4740 6180 6330 8137 12660 16274 16669 21733 24411 32548 33338 40685 43466 48822 50007 65199 66676 81370 83345 86932 97644 100014 108665 122055 130398 162740 166690 200028 217330 244110 250035 260796 325995 333380 434660 488220 500070 651990 1000140 1303980 1716907 3433814 5150721 6867628 8584535 10301442 17169070 20602884 25753605 34338140 51507210 103014420