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83947380 = 223511231373
BaseRepresentation
bin1010000000011…
…10111101110100
312211221222011020
411000032331310
5132442304010
612155141140
72036353356
oct500167564
9184858136
1083947380
1143427a00
12241447b0
131451300a
14b2130d6
157583470
hex500ef74

83947380 has 144 divisors (see below), whose sum is σ = 267412992. Its totient is φ = 19641600.

The previous prime is 83947379. The next prime is 83947387. The reversal of 83947380 is 8374938.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83947387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 224874 + ... + 225246.

Almost surely, 283947380 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83947380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133706496).

83947380 is an abundant number, since it is smaller than the sum of its proper divisors (183465612).

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

83947380 is a wasteful number, since it uses less digits than its factorization.

83947380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 83947380 is about 9162.2802838595. The cubic root of 83947380 is about 437.8604463562.

The spelling of 83947380 in words is "eighty-three million, nine hundred forty-seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 31 33 44 55 60 62 66 93 110 121 124 132 155 165 186 220 242 310 330 341 363 372 373 465 484 605 620 660 682 726 746 930 1023 1119 1210 1364 1452 1492 1705 1815 1860 1865 2046 2238 2420 3410 3630 3730 3751 4092 4103 4476 5115 5595 6820 7260 7460 7502 8206 10230 11190 11253 11563 12309 15004 16412 18755 20460 20515 22380 22506 23126 24618 34689 37510 41030 45012 45133 46252 49236 56265 57815 61545 69378 75020 82060 90266 112530 115630 123090 127193 135399 138756 173445 180532 225060 225665 231260 246180 254386 270798 346890 381579 451330 508772 541596 635965 676995 693780 763158 902660 1271930 1353990 1399123 1526316 1907895 2543860 2707980 2798246 3815790 4197369 5596492 6995615 7631580 8394738 13991230 16789476 20986845 27982460 41973690 83947380