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1415235540 = 2235234125013
BaseRepresentation
bin101010001011010…
…1100011111010100
310122122000102012010
41110112230133110
510344300014130
6352233224220
750033206065
oct12426543724
93578012163
101415235540
11666955454
12335b62070
131972843a4
14d5d5a56c
15843a40b0
hex545ac7d4

1415235540 has 96 divisors (see below), whose sum is σ = 4235970816. Its totient is φ = 352168960.

The previous prime is 1415235457. The next prime is 1415235541. The reversal of 1415235540 is 455325141.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1415235498 and 1415235507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1415235541) 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, 44074 + ... + 69086.

It is an arithmetic number, because the mean of its divisors is an integer number (44124696).

Almost surely, 21415235540 is an apocalyptic number.

1415235540 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 1415235540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2117985408).

1415235540 is an abundant number, since it is smaller than the sum of its proper divisors (2820735276).

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

1415235540 is a wasteful number, since it uses less digits than its factorization.

1415235540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25089 (or 25087 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 1415235540 is about 37619.6164254767. The cubic root of 1415235540 is about 1122.7323645987.

The spelling of 1415235540 in words is "one billion, four hundred fifteen million, two hundred thirty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 41 46 60 69 82 92 115 123 138 164 205 230 246 276 345 410 460 492 615 690 820 943 1230 1380 1886 2460 2829 3772 4715 5658 9430 11316 14145 18860 25013 28290 50026 56580 75039 100052 125065 150078 250130 300156 375195 500260 575299 750390 1025533 1150598 1500780 1725897 2051066 2301196 2876495 3076599 3451794 4102132 5127665 5752990 6153198 6903588 8629485 10255330 11505980 12306396 15382995 17258970 20510660 23587259 30765990 34517940 47174518 61531980 70761777 94349036 117936295 141523554 235872590 283047108 353808885 471745180 707617770 1415235540