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190198992 = 24317213711
BaseRepresentation
bin10110101011000…
…11010011010000
3111020220002222010
423111203103100
5342142331432
630512342520
74466444004
oct1325432320
9436802863
10190198992
11983a9355
1253844a40
13305351a9
141b390704
1511a703cc
hexb5634d0

190198992 has 60 divisors (see below), whose sum is σ = 521988416. Its totient is φ = 59665920.

The previous prime is 190198979. The next prime is 190198999. The reversal of 190198992 is 299891091.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190198999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7017 + ... + 20727.

Almost surely, 2190198992 is an apocalyptic number.

190198992 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 190198992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260994208).

190198992 is an abundant number, since it is smaller than the sum of its proper divisors (331789424).

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

190198992 is a wasteful number, since it uses less digits than its factorization.

190198992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13756 (or 13733 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 48.

The square root of 190198992 is about 13791.2650616251. The cubic root of 190198992 is about 575.0903369093.

The spelling of 190198992 in words is "one hundred ninety million, one hundred ninety-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 289 408 578 816 867 1156 1734 2312 3468 4624 6936 13711 13872 27422 41133 54844 82266 109688 164532 219376 233087 329064 466174 658128 699261 932348 1398522 1864696 2797044 3729392 3962479 5594088 7924958 11188176 11887437 15849916 23774874 31699832 47549748 63399664 95099496 190198992