Search a number
-
+
1010042320 = 24571803647
BaseRepresentation
bin111100001101000…
…000010111010000
32121101120110120211
4330031000113100
54032032323240
6244120413504
734013134540
oct7415002720
92541513524
101010042320
11479162821
12242317294
131313450a1
1498203320
155da16bea
hex3c3405d0

1010042320 has 40 divisors (see below), whose sum is σ = 2683828224. Its totient is φ = 346300032.

The previous prime is 1010042311. The next prime is 1010042321. The reversal of 1010042320 is 232400101.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 1010042320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010042321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 901264 + ... + 902383.

Almost surely, 21010042320 is an apocalyptic number.

1010042320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010042320 is an abundant number, since it is smaller than the sum of its proper divisors (1673785904).

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

1010042320 is a wasteful number, since it uses less digits than its factorization.

1010042320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1803667 (or 1803661 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 1010042320 is about 31781.1629743155. The cubic root of 1010042320 is about 1003.3362967454.

Adding to 1010042320 its reverse (232400101), we get a palindrome (1242442421).

The spelling of 1010042320 in words is "one billion, ten million, forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 1803647 3607294 7214588 9018235 12625529 14429176 18036470 25251058 28858352 36072940 50502116 63127645 72145880 101004232 126255290 144291760 202008464 252510580 505021160 1010042320