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103414140 = 223253143431
BaseRepresentation
bin1100010100111…
…11100101111100
321012120222112100
412022133211330
5202433223030
614132305100
72364001644
oct612374574
9235528470
10103414140
1153413635
122a772190
131856a7cb
14da3d524
15912b360
hex629f97c

103414140 has 144 divisors (see below), whose sum is σ = 332107776. Its totient is φ = 26006400.

The previous prime is 103414139. The next prime is 103414159. The reversal of 103414140 is 41414301.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 239725 + ... + 240155.

It is an arithmetic number, because the mean of its divisors is an integer number (2306304).

Almost surely, 2103414140 is an apocalyptic number.

103414140 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 103414140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166053888).

103414140 is an abundant number, since it is smaller than the sum of its proper divisors (228693636).

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

103414140 is a wasteful number, since it uses less digits than its factorization.

103414140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 103414140 is about 10169.2743103921. The cubic root of 103414140 is about 469.3822274320.

Adding to 103414140 its reverse (41414301), we get a palindrome (144828441).

The spelling of 103414140 in words is "one hundred three million, four hundred fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 43 45 60 62 86 90 93 124 129 155 172 180 186 215 258 279 310 372 387 430 431 465 516 558 620 645 774 860 862 930 1116 1290 1293 1333 1395 1548 1724 1860 1935 2155 2580 2586 2666 2790 3870 3879 3999 4310 5172 5332 5580 6465 6665 7740 7758 7998 8620 11997 12930 13330 13361 15516 15996 18533 19395 19995 23994 25860 26660 26722 37066 38790 39990 40083 47988 53444 55599 59985 66805 74132 77580 79980 80166 92665 111198 119970 120249 133610 160332 166797 185330 200415 222396 239940 240498 267220 277995 333594 370660 400830 480996 555990 574523 601245 667188 801660 833985 1111980 1149046 1202490 1667970 1723569 2298092 2404980 2872615 3335940 3447138 5170707 5745230 6894276 8617845 10341414 11490460 17235690 20682828 25853535 34471380 51707070 103414140