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1083634420 = 2251123331647
BaseRepresentation
bin100000010010110…
…1111001011110100
32210112001022222011
41000211233023310
54204402300140
6255310014004
735565512011
oct10045571364
92715038864
101083634420
11506757640
12262aa7304
131436708cb
14a3cbc708
1565201cea
hex4096f2f4

1083634420 has 96 divisors (see below), whose sum is σ = 2602285056. Its totient is φ = 375196800.

The previous prime is 1083634339. The next prime is 1083634477. The reversal of 1083634420 is 244363801.

1083634420 = 68532 + 68542 + ... + 68752.

It is a congruent number.

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, 1674537 + ... + 1675183.

It is an arithmetic number, because the mean of its divisors is an integer number (27107136).

Almost surely, 21083634420 is an apocalyptic number.

1083634420 is a gapful number since it is divisible by the number (10) 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 1083634420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1301142528).

1083634420 is an abundant number, since it is smaller than the sum of its proper divisors (1518650636).

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

1083634420 is a wasteful number, since it uses less digits than its factorization.

1083634420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 1083634420 is about 32918.6029472698. The cubic root of 1083634420 is about 1027.1351629062.

The spelling of 1083634420 in words is "one billion, eighty-three million, six hundred thirty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 44 46 55 92 110 115 220 230 253 331 460 506 647 662 1012 1265 1294 1324 1655 2530 2588 3235 3310 3641 5060 6470 6620 7117 7282 7613 12940 14234 14564 14881 15226 18205 28468 29762 30452 35585 36410 38065 59524 71170 72820 74405 76130 83743 142340 148810 152260 163691 167486 214157 297620 327382 334972 418715 428314 654764 818455 837430 856628 1070785 1636910 1674860 2141570 2355727 3273820 4283140 4711454 4925611 9422908 9851222 11778635 19702444 23557270 24628055 47114540 49256110 54181721 98512220 108363442 216726884 270908605 541817210 1083634420