Search a number
-
+
1036972840 = 23525924321
BaseRepresentation
bin111101110011101…
…111001100101000
32200021020200022111
4331303233030220
54110431112330
6250521532104
734461060301
oct7563571450
92607220274
101036972840
11492387052
1224b344034
13136ab3bc7
149ba137a8
156108632a
hex3dcef328

1036972840 has 16 divisors (see below), whose sum is σ = 2333188980. Its totient is φ = 414789120.

The previous prime is 1036972837. The next prime is 1036972843. The reversal of 1036972840 is 482796301.

It is an interprime number because it is at equal distance from previous prime (1036972837) and next prime (1036972843).

It can be written as a sum of positive squares in 2 ways, for example, as 965096356 + 71876484 = 31066^2 + 8478^2 .

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 25924321 = 1036972840 / (1 + 0 + 3 + 6 + 9 + 7 + 2 + 8 + 4 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 1036972793 and 1036972802.

It is not an unprimeable number, because it can be changed into a prime (1036972843) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12962121 + ... + 12962200.

Almost surely, 21036972840 is an apocalyptic number.

1036972840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1036972840 is an abundant number, since it is smaller than the sum of its proper divisors (1296216140).

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

1036972840 is a wasteful number, since it uses less digits than its factorization.

1036972840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25924332 (or 25924328 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The square root of 1036972840 is about 32202.0626668541. The cubic root of 1036972840 is about 1012.1754370974.

The spelling of 1036972840 in words is "one billion, thirty-six million, nine hundred seventy-two thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 40 25924321 51848642 103697284 129621605 207394568 259243210 518486420 1036972840