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1120902090 = 235711631769
BaseRepresentation
bin100001011001111…
…1001101111001010
32220010011201121020
41002303321233022
54243422331330
6303120453310
736530340060
oct10263715712
92803151536
101120902090
115257a1370
1227347a236
1314b2bb899
14a8c20030
1568614210
hex42cf9bca

1120902090 has 128 divisors (see below), whose sum is σ = 3363655680. Its totient is φ = 232243200.

The previous prime is 1120902073. The next prime is 1120902091. The reversal of 1120902090 is 902090211.

It is a self number, because there is not a number n which added to its sum of digits gives 1120902090.

It is not an unprimeable number, because it can be changed into a prime (1120902091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1457226 + ... + 1457994.

It is an arithmetic number, because the mean of its divisors is an integer number (26278560).

Almost surely, 21120902090 is an apocalyptic number.

1120902090 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 1120902090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681827840).

1120902090 is an abundant number, since it is smaller than the sum of its proper divisors (2242753590).

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

1120902090 is a wasteful number, since it uses less digits than its factorization.

1120902090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428.

The product of its (nonzero) digits is 324, while the sum is 24.

The square root of 1120902090 is about 33479.8758958273. The cubic root of 1120902090 is about 1038.7775608455. Note that the first 3 decimals are identical.

The spelling of 1120902090 in words is "one billion, one hundred twenty million, nine hundred two thousand, ninety".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 631 769 770 1155 1262 1538 1893 2307 2310 3155 3786 3845 4417 4614 5383 6310 6941 7690 8459 8834 9465 10766 11535 13251 13882 16149 16918 18930 20823 22085 23070 25377 26502 26915 32298 34705 41646 42295 44170 48587 50754 53830 59213 66255 69410 80745 84590 97174 104115 118426 126885 132510 145761 161490 177639 208230 242935 253770 291522 296065 355278 485239 485870 592130 728805 888195 970478 1455717 1457610 1776390 2426195 2911434 3396673 4852390 5337629 6793346 7278585 10190019 10675258 14557170 16012887 16983365 20380038 26688145 32025774 33966730 37363403 50950095 53376290 74726806 80064435 101900190 112090209 160128870 186817015 224180418 373634030 560451045 1120902090