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1010552420 = 225174172493
BaseRepresentation
bin111100001110111…
…100111001100100
32121102112101022102
4330032330321210
54032200134140
6244135351232
734020360653
oct7416747144
92542471272
101010552420
11479480a99
12242522518
13131493317
14982d719a
155dab7e15
hex3c3bce64

1010552420 has 48 divisors (see below), whose sum is σ = 2301829488. Its totient is φ = 371159040.

The previous prime is 1010552401. The next prime is 1010552429. The reversal of 1010552420 is 242550101.

It can be written as a sum of positive squares in 8 ways, for example, as 10601536 + 999950884 = 3256^2 + 31622^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1010552392 and 1010552401.

It is not an unprimeable number, because it can be changed into a prime (1010552429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22307 + ... + 50186.

It is an arithmetic number, because the mean of its divisors is an integer number (47954781).

Almost surely, 21010552420 is an apocalyptic number.

1010552420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010552420 is an abundant number, since it is smaller than the sum of its proper divisors (1291277068).

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

1010552420 is a wasteful number, since it uses less digits than its factorization.

1010552420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72560 (or 72558 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 1010552420 is about 31789.1871553835. The cubic root of 1010552420 is about 1003.5051727423.

The spelling of 1010552420 in words is "one billion, ten million, five hundred fifty-two thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 41 68 82 85 164 170 205 340 410 697 820 1394 2788 3485 6970 13940 72493 144986 289972 362465 724930 1232381 1449860 2464762 2972213 4929524 5944426 6161905 11888852 12323810 14861065 24647620 29722130 50527621 59444260 101055242 202110484 252638105 505276210 1010552420