Search a number
-
+
1036904401 = 13224772
BaseRepresentation
bin111101110011011…
…110011111010001
32200021010012102201
4331303132133101
54110421420101
6250520243201
734460353621
oct7563363721
92607105381
101036904401
1149233a695
1224b310501
13136a8ba00
149b9d6881
1561070e01
hex3dcde7d1

1036904401 has 9 divisors (see below), whose sum is σ = 1123255281. Its totient is φ = 956756112.

The previous prime is 1036904387. The next prime is 1036904411. The reversal of 1036904401 is 1044096301.

The square root of 1036904401 is 32201.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 148864401 + 888040000 = 12201^2 + 29800^2 .

It is not a de Polignac number, because 1036904401 - 25 = 1036904369 is a prime.

It is a super-3 number, since 3×10369044013 (a number of 28 digits) contains 333 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1036904401.

It is not an unprimeable number, because it can be changed into a prime (1036904411) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 417375 + ... + 419851.

Almost surely, 21036904401 is an apocalyptic number.

1036904401 is the 32201-st square number.

1036904401 is the 16101-st centered octagonal number.

It is an amenable number.

1036904401 is a deficient number, since it is larger than the sum of its proper divisors (86350880).

1036904401 is an frugal number, since it uses more digits than its factorization.

1036904401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4980 (or 2490 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The cubic root of 1036904401 is about 1012.1531691408.

The spelling of 1036904401 in words is "one billion, thirty-six million, nine hundred four thousand, four hundred one".

Divisors: 1 13 169 2477 32201 418613 6135529 79761877 1036904401