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119288820 = 22357476043
BaseRepresentation
bin1110001110000…
…11001111110100
322022110111111110
413013003033310
5221014220240
615500435020
72645636550
oct707031764
9268414443
10119288820
1161376502
1233b48a70
131b938301
1411bb2860
15a714c80
hex71c33f4

119288820 has 96 divisors (see below), whose sum is σ = 389910528. Its totient is φ = 26681472.

The previous prime is 119288801. The next prime is 119288831. The reversal of 119288820 is 28882911.

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, 16719 + ... + 22761.

It is an arithmetic number, because the mean of its divisors is an integer number (4061568).

Almost surely, 2119288820 is an apocalyptic number.

119288820 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 119288820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194955264).

119288820 is an abundant number, since it is smaller than the sum of its proper divisors (270621708).

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

119288820 is a wasteful number, since it uses less digits than its factorization.

119288820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6109 (or 6107 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 39.

The square root of 119288820 is about 10921.9421349868. The cubic root of 119288820 is about 492.2660831846.

The spelling of 119288820 in words is "one hundred nineteen million, two hundred eighty-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 47 60 70 84 94 105 140 141 188 210 235 282 329 420 470 564 658 705 940 987 1316 1410 1645 1974 2820 3290 3948 4935 6043 6580 9870 12086 18129 19740 24172 30215 36258 42301 60430 72516 84602 90645 120860 126903 169204 181290 211505 253806 284021 362580 423010 507612 568042 634515 846020 852063 1136084 1269030 1420105 1704126 1988147 2538060 2840210 3408252 3976294 4260315 5680420 5964441 7952588 8520630 9940735 11928882 17041260 19881470 23857764 29822205 39762940 59644410 119288820