Search a number
-
+
119930880 = 2173561
BaseRepresentation
bin1110010011000…
…00000000000000
322100200010020110
413021200000000
5221200242010
615522311320
72654252466
oct711400000
9270603213
10119930880
1161774933
12341b8540
131bb01624
1411cdc836
15a7e0120
hex7260000

119930880 has 144 divisors (see below), whose sum is σ = 390068784. Its totient is φ = 31457280.

The previous prime is 119930873. The next prime is 119930911. The reversal of 119930880 is 88039911.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1966050 + ... + 1966110.

It is an arithmetic number, because the mean of its divisors is an integer number (2708811).

Almost surely, 2119930880 is an apocalyptic number.

119930880 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 119930880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195034392).

119930880 is an abundant number, since it is smaller than the sum of its proper divisors (270137904).

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

119930880 is an frugal number, since it uses more digits than its factorization.

119930880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 39.

The square root of 119930880 is about 10951.2958137382. The cubic root of 119930880 is about 493.1476941337.

The spelling of 119930880 in words is "one hundred nineteen million, nine hundred thirty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 61 64 80 96 120 122 128 160 183 192 240 244 256 305 320 366 384 480 488 512 610 640 732 768 915 960 976 1024 1220 1280 1464 1536 1830 1920 1952 2048 2440 2560 2928 3072 3660 3840 3904 4096 4880 5120 5856 6144 7320 7680 7808 8192 9760 10240 11712 12288 14640 15360 15616 16384 19520 20480 23424 24576 29280 30720 31232 32768 39040 40960 46848 49152 58560 61440 62464 65536 78080 81920 93696 98304 117120 122880 124928 131072 156160 163840 187392 196608 234240 245760 249856 312320 327680 374784 393216 468480 491520 499712 624640 655360 749568 936960 983040 999424 1249280 1499136 1873920 1966080 1998848 2498560 2998272 3747840 3997696 4997120 5996544 7495680 7995392 9994240 11993088 14991360 19988480 23986176 29982720 39976960 59965440 119930880