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1300030004 = 227135379853
BaseRepresentation
bin100110101111100…
…1110001000110100
310100121020100220102
41031133032020310
510130301430004
6333000053232
744134033640
oct11537161064
93317210812
101300030004
11607918869
12303464218
13179448830
14c492bc20
15791e911e
hex4d7ce234

1300030004 has 96 divisors (see below), whose sum is σ = 2892395520. Its totient is φ = 497622528.

The previous prime is 1300029979. The next prime is 1300030007. The reversal of 1300030004 is 4000300031.

It is a super-2 number, since 2×13000300042 = 3380156022600480032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1300030007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1523642 + ... + 1524494.

It is an arithmetic number, because the mean of its divisors is an integer number (30129120).

Almost surely, 21300030004 is an apocalyptic number.

1300030004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1300030004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446197760).

1300030004 is an abundant number, since it is smaller than the sum of its proper divisors (1592365516).

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

1300030004 is a wasteful number, since it uses less digits than its factorization.

1300030004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 11.

The square root of 1300030004 is about 36055.9288328563. The cubic root of 1300030004 is about 1091.4012794458.

Adding to 1300030004 its reverse (4000300031), we get a palindrome (5300330035).

The spelling of 1300030004 in words is "one billion, three hundred million, thirty thousand, four".

Divisors: 1 2 4 7 13 14 26 28 52 53 79 91 106 158 182 212 316 364 371 553 689 742 853 1027 1106 1378 1484 1706 2054 2212 2756 3412 4108 4187 4823 5971 7189 8374 9646 11089 11942 14378 16748 19292 22178 23884 28756 29309 44356 45209 54431 58618 67387 77623 90418 108862 117236 134774 155246 180836 217724 269548 310492 316463 381017 471709 587717 632926 762034 876031 943418 1175434 1265852 1524068 1752062 1886836 2350868 3504124 3571511 4114019 6132217 7143022 8228038 12264434 14286044 16456076 24528868 25000577 46429643 50001154 92859286 100002308 185718572 325007501 650015002 1300030004