Search a number
-
+
119945820 = 223531591093
BaseRepresentation
bin1110010011000…
…11101001011100
322100200212201210
413021203221130
5221201231240
615522504420
72654344161
oct711435134
9270625653
10119945820
1161785085
1234205110
131bb08377
1411d04068
15a7e4780
hex7263a5c

119945820 has 96 divisors (see below), whose sum is σ = 352880640. Its totient is φ = 30401280.

The previous prime is 119945809. The next prime is 119945831. The reversal of 119945820 is 28549911.

It is an interprime number because it is at equal distance from previous prime (119945809) and next prime (119945831).

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, 109194 + ... + 110286.

It is an arithmetic number, because the mean of its divisors is an integer number (3675840).

Almost surely, 2119945820 is an apocalyptic number.

119945820 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 119945820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176440320).

119945820 is an abundant number, since it is smaller than the sum of its proper divisors (232934820).

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

119945820 is a wasteful number, since it uses less digits than its factorization.

119945820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1195 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 39.

The square root of 119945820 is about 10951.9779035570. The cubic root of 119945820 is about 493.1681707078.

The spelling of 119945820 in words is "one hundred nineteen million, nine hundred forty-five thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 59 60 62 93 118 124 155 177 186 236 295 310 354 372 465 590 620 708 885 930 1093 1180 1770 1829 1860 2186 3279 3540 3658 4372 5465 5487 6558 7316 9145 10930 10974 13116 16395 18290 21860 21948 27435 32790 33883 36580 54870 64487 65580 67766 101649 109740 128974 135532 169415 193461 203298 257948 322435 338830 386922 406596 508245 644870 677660 773844 967305 1016490 1289740 1934610 1999097 2032980 3869220 3998194 5997291 7996388 9995485 11994582 19990970 23989164 29986455 39981940 59972910 119945820