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1395149130 = 23356597841
BaseRepresentation
bin101001100101000…
…0100100101001010
310121020012220211000
41103022010211022
510324124233010
6350234515430
746400400114
oct12312044512
93536186730
101395149130
11656586211
1232b295b76
1319307083b
14d340c3b4
15827377c0
hex5328494a

1395149130 has 64 divisors (see below), whose sum is σ = 3726518400. Its totient is φ = 371427840.

The previous prime is 1395149099. The next prime is 1395149143. The reversal of 1395149130 is 319415931.

1395149130 is a `hidden beast` number, since 1 + 3 + 9 + 514 + 9 + 130 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174010 + ... + 181850.

It is an arithmetic number, because the mean of its divisors is an integer number (58226850).

Almost surely, 21395149130 is an apocalyptic number.

1395149130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1395149130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1863259200).

1395149130 is an abundant number, since it is smaller than the sum of its proper divisors (2331369270).

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

1395149130 is a wasteful number, since it uses less digits than its factorization.

1395149130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8516 (or 8510 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 1395149130 is about 37351.6951422556. The cubic root of 1395149130 is about 1117.3953958211.

The spelling of 1395149130 in words is "one billion, three hundred ninety-five million, one hundred forty-nine thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 659 1318 1977 3295 3954 5931 6590 7841 9885 11862 15682 17793 19770 23523 29655 35586 39205 47046 59310 70569 78410 88965 117615 141138 177930 211707 235230 352845 423414 705690 1058535 2117070 5167219 10334438 15501657 25836095 31003314 46504971 51672190 77508285 93009942 139514913 155016570 232524855 279029826 465049710 697574565 1395149130