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1415221040 = 245891131759
BaseRepresentation
bin101010001011010…
…1000111100110000
310122121222200022002
41110112220330300
510344244033130
6352233033132
750033115602
oct12426507460
93577880262
101415221040
11666945572
12335b557a8
1319727a8cc
14d5d55172
158439eb45
hex545a8f30

1415221040 has 80 divisors (see below), whose sum is σ = 3358713600. Its totient is φ = 554459136.

The previous prime is 1415221033. The next prime is 1415221043. The reversal of 1415221040 is 401225141.

It is a happy number.

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 not an unprimeable number, because it can be changed into a prime (1415221043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 803681 + ... + 805439.

It is an arithmetic number, because the mean of its divisors is an integer number (41983920).

Almost surely, 21415221040 is an apocalyptic number.

1415221040 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 1415221040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679356800).

1415221040 is an abundant number, since it is smaller than the sum of its proper divisors (1943492560).

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

1415221040 is a wasteful number, since it uses less digits than its factorization.

1415221040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1974 (or 1968 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 1415221040 is about 37619.4237063781. The cubic root of 1415221040 is about 1122.7285302135.

Adding to 1415221040 its reverse (401225141), we get a palindrome (1816446181).

The spelling of 1415221040 in words is "one billion, four hundred fifteen million, two hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 113 178 226 356 445 452 565 712 890 904 1130 1424 1759 1780 1808 2260 3518 3560 4520 7036 7120 8795 9040 10057 14072 17590 20114 28144 35180 40228 50285 70360 80456 100570 140720 156551 160912 198767 201140 313102 397534 402280 626204 782755 795068 804560 993835 1252408 1565510 1590136 1987670 2504816 3131020 3180272 3975340 6262040 7950680 12524080 15901360 17690263 35380526 70761052 88451315 141522104 176902630 283044208 353805260 707610520 1415221040