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11995992 = 2333193779
BaseRepresentation
bin101101110000…
…101101011000
3211120110102000
4231300231120
511032332432
61105041000
7203651511
oct55605530
924513360
1011995992
116853848
124026160
132640228
141843a08
1510be57c
hexb70b58

11995992 has 128 divisors (see below), whose sum is σ = 36480000. Its totient is φ = 3639168.

The previous prime is 11995981. The next prime is 11996003. The reversal of 11995992 is 29959911.

11995992 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11995981) and next prime (11996003).

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, 151809 + ... + 151887.

It is an arithmetic number, because the mean of its divisors is an integer number (285000).

Almost surely, 211995992 is an apocalyptic number.

11995992 is a gapful number since it is divisible by the number (12) 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 11995992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18240000).

11995992 is an abundant number, since it is smaller than the sum of its proper divisors (24484008).

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

11995992 is a wasteful number, since it uses less digits than its factorization.

11995992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 140 counting only the distinct ones).

The product of its digits is 65610, while the sum is 45.

The square root of 11995992 is about 3463.5230618548. The cubic root of 11995992 is about 228.9173567019.

The spelling of 11995992 in words is "eleven million, nine hundred ninety-five thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 37 38 54 57 72 74 76 79 108 111 114 148 152 158 171 216 222 228 237 296 316 333 342 444 456 474 513 632 666 684 703 711 888 948 999 1026 1332 1368 1406 1422 1501 1896 1998 2052 2109 2133 2664 2812 2844 2923 3002 3996 4104 4218 4266 4503 5624 5688 5846 6004 6327 7992 8436 8532 8769 9006 11692 12008 12654 13509 16872 17064 17538 18012 18981 23384 25308 26307 27018 35076 36024 37962 40527 50616 52614 54036 55537 70152 75924 78921 81054 105228 108072 111074 151848 157842 162108 166611 210456 222148 315684 324216 333222 444296 499833 631368 666444 999666 1332888 1499499 1999332 2998998 3998664 5997996 11995992