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1388734590 = 235172315167
BaseRepresentation
bin101001011000110…
…0110100001111110
310120210011000201110
41102301212201332
510321004001330
6345445222450
746262022615
oct12261464176
93523130643
101388734590
116529a4941
12329101a26
13191935c59
14d261c87c
1581dbbdb0
hex52c6687e

1388734590 has 96 divisors (see below), whose sum is σ = 3655471104. Its totient is φ = 337236480.

The previous prime is 1388734583. The next prime is 1388734609. The reversal of 1388734590 is 954378831.

It is a super-2 number, since 2×13887345902 = 3857167522924936200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 266187 + ... + 271353.

It is an arithmetic number, because the mean of its divisors is an integer number (38077824).

Almost surely, 21388734590 is an apocalyptic number.

1388734590 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 1388734590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1827735552).

1388734590 is an abundant number, since it is smaller than the sum of its proper divisors (2266736514).

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

1388734590 is a wasteful number, since it uses less digits than its factorization.

1388734590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5242 (or 5225 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 1388734590 is about 37265.7294306713. The cubic root of 1388734590 is about 1115.6802648360.

The spelling of 1388734590 in words is "one billion, three hundred eighty-eight million, seven hundred thirty-four thousand, five hundred ninety".

Divisors: 1 2 3 5 6 10 15 17 30 31 34 51 62 85 93 102 155 170 186 255 289 310 465 510 527 578 867 930 1054 1445 1581 1734 2635 2890 3162 4335 5167 5270 7905 8670 8959 10334 15501 15810 17918 25835 26877 31002 44795 51670 53754 77505 87839 89590 134385 155010 160177 175678 263517 268770 320354 439195 480531 527034 800885 878390 961062 1317585 1493263 1601770 2402655 2635170 2723009 2986526 4479789 4805310 5446018 7466315 8169027 8959578 13615045 14932630 16338054 22398945 27230090 40845135 44797890 46291153 81690270 92582306 138873459 231455765 277746918 462911530 694367295 1388734590