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1387940832 = 25344711393
BaseRepresentation
bin101001010111010…
…0100101111100000
310120201122200220000
41102232210233200
510320303101312
6345420220000
746252205505
oct12256445740
93521580800
101387940832
11652502543
1232899a600
13191718885
14d24934ac
1581cb1adc
hex52ba4be0

1387940832 has 120 divisors (see below), whose sum is σ = 4169110176. Its totient is φ = 452763648.

The previous prime is 1387940821. The next prime is 1387940867. The reversal of 1387940832 is 2380497831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 116128 + ... + 127520.

Almost surely, 21387940832 is an apocalyptic number.

1387940832 is a gapful number since it is divisible by the number (12) 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 1387940832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2084555088).

1387940832 is an abundant number, since it is smaller than the sum of its proper divisors (2781169344).

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

1387940832 is a wasteful number, since it uses less digits than its factorization.

1387940832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11462 (or 11445 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 1387940832 is about 37255.0779357660. The cubic root of 1387940832 is about 1115.4676614777.

The spelling of 1387940832 in words is "one billion, three hundred eighty-seven million, nine hundred forty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 72 81 94 96 108 141 144 162 188 216 282 288 324 376 423 432 564 648 752 846 864 1128 1269 1296 1504 1692 2256 2538 2592 3384 3807 4512 5076 6768 7614 10152 11393 13536 15228 20304 22786 30456 34179 40608 45572 60912 68358 91144 102537 121824 136716 182288 205074 273432 307611 364576 410148 535471 546864 615222 820296 922833 1070942 1093728 1230444 1606413 1640592 1845666 2141884 2460888 3212826 3281184 3691332 4283768 4819239 4921776 6425652 7382664 8567536 9638478 9843552 12851304 14457717 14765328 17135072 19276956 25702608 28915434 29530656 38553912 43373151 51405216 57830868 77107824 86746302 115661736 154215648 173492604 231323472 346985208 462646944 693970416 1387940832