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119413240 = 23523315379
BaseRepresentation
bin1110001111000…
…01100111111000
322022200211011121
413013201213320
5221032210430
615503235024
72646665362
oct707414770
9268624147
10119413240
1161450a31
1233ba8a74
131b97cb2b
1411c05d32
15a73ba7a
hex71e19f8

119413240 has 128 divisors (see below), whose sum is σ = 298598400. Its totient is φ = 42831360.

The previous prime is 119413211. The next prime is 119413241. The reversal of 119413240 is 42314911.

It is a happy number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (119413241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1511521 + ... + 1511599.

It is an arithmetic number, because the mean of its divisors is an integer number (2332800).

Almost surely, 2119413240 is an apocalyptic number.

119413240 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 119413240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149299200).

119413240 is an abundant number, since it is smaller than the sum of its proper divisors (179185160).

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

119413240 is a wasteful number, since it uses less digits than its factorization.

119413240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 119413240 is about 10927.6365239699. The cubic root of 119413240 is about 492.4371706464.

The spelling of 119413240 in words is "one hundred nineteen million, four hundred thirteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 23 31 40 46 53 62 79 92 106 115 124 155 158 184 212 230 248 265 310 316 395 424 460 530 620 632 713 790 920 1060 1219 1240 1426 1580 1643 1817 2120 2438 2449 2852 3160 3286 3565 3634 4187 4876 4898 5704 6095 6572 7130 7268 8215 8374 9085 9752 9796 12190 12245 13144 14260 14536 16430 16748 18170 19592 20935 24380 24490 28520 32860 33496 36340 37789 41870 48760 48980 56327 65720 72680 75578 83740 96301 97960 112654 129797 151156 167480 188945 192602 225308 259594 281635 302312 377890 385204 450616 481505 519188 563270 648985 755780 770408 963010 1038376 1126540 1297970 1511560 1926020 2253080 2595940 2985331 3852040 5191880 5970662 11941324 14926655 23882648 29853310 59706620 119413240