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2145532520 = 235294913767
BaseRepresentation
bin111111111100010…
…0011101001101000
312112112012100022102
41333320203221220
513343224020040
6552522112532
7104111503565
oct17770435150
95475170272
102145532520
11a0110837a
124ba64b748
13282670991
14164d3d86c
15c855d515
hex7fe23a68

2145532520 has 64 divisors (see below), whose sum is σ = 5005411200. Its totient is φ = 826712320.

The previous prime is 2145532471. The next prime is 2145532531. The reversal of 2145532520 is 252355412.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 567677 + ... + 571443.

It is an arithmetic number, because the mean of its divisors is an integer number (78209550).

Almost surely, 22145532520 is an apocalyptic number.

2145532520 is a gapful number since it is divisible by the number (20) 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 2145532520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2502705600).

2145532520 is an abundant number, since it is smaller than the sum of its proper divisors (2859878680).

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

2145532520 is a wasteful number, since it uses less digits than its factorization.

2145532520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4298 (or 4294 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 29.

The square root of 2145532520 is about 46319.8933504817. The cubic root of 2145532520 is about 1289.7683056431.

Adding to 2145532520 its reverse (252355412), we get a palindrome (2397887932).

The spelling of 2145532520 in words is "two billion, one hundred forty-five million, five hundred thirty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 491 580 982 1160 1964 2455 3767 3928 4910 7534 9820 14239 15068 18835 19640 28478 30136 37670 56956 71195 75340 109243 113912 142390 150680 218486 284780 436972 546215 569560 873944 1092430 1849597 2184860 3699194 4369720 7398388 9247985 14796776 18495970 36991940 53638313 73983880 107276626 214553252 268191565 429106504 536383130 1072766260 2145532520