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1300406004 = 223236122389
BaseRepresentation
bin100110110000010…
…1001111011110100
310100121221110200100
41031200221323310
510130400443004
6333012114100
744140161102
oct11540517364
93317843610
101300406004
11608055307
12303605930
1317954aa11
14c49c8c72
1579270739
hex4d829ef4

1300406004 has 18 divisors (see below), whose sum is σ = 3287137490. Its totient is φ = 433468656.

The previous prime is 1300405963. The next prime is 1300406027. The reversal of 1300406004 is 4006040031.

1300406004 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1062629604 + 237776400 = 32598^2 + 15420^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 18061159 + ... + 18061230.

Almost surely, 21300406004 is an apocalyptic number.

It is an amenable number.

1300406004 is an abundant number, since it is smaller than the sum of its proper divisors (1986731486).

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

1300406004 is a wasteful number, since it uses less digits than its factorization.

1300406004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36122399 (or 36122394 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1300406004 is about 36061.1425775723. The cubic root of 1300406004 is about 1091.5064891521.

Adding to 1300406004 its reverse (4006040031), we get a palindrome (5306446035).

The spelling of 1300406004 in words is "one billion, three hundred million, four hundred six thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 36122389 72244778 108367167 144489556 216734334 325101501 433468668 650203002 1300406004