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190469920 = 2551816577
BaseRepresentation
bin10110101101001…
…01011100100000
3111021101212121111
423112211130200
5342230014140
630522233104
74501652614
oct1326453440
9437355544
10190469920
1198573963
1253955794
13305cb5c4
141b421344
1511ac57ea
hexb5a5720

190469920 has 48 divisors (see below), whose sum is σ = 452540088. Its totient is φ = 75755520.

The previous prime is 190469857. The next prime is 190469953. The reversal of 190469920 is 29964091.

It can be written as a sum of positive squares in 4 ways, for example, as 152868496 + 37601424 = 12364^2 + 6132^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 25672 + ... + 32248.

Almost surely, 2190469920 is an apocalyptic number.

190469920 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 190469920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226270044).

190469920 is an abundant number, since it is smaller than the sum of its proper divisors (262070168).

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

190469920 is a wasteful number, since it uses less digits than its factorization.

190469920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6773 (or 6765 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 40.

The square root of 190469920 is about 13801.0840153953. The cubic root of 190469920 is about 575.3632688733.

It can be divided in two parts, 1904 and 69920, that added together give a square (71824 = 2682).

The spelling of 190469920 in words is "one hundred ninety million, four hundred sixty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 181 362 724 905 1448 1810 2896 3620 5792 6577 7240 13154 14480 26308 28960 32885 52616 65770 105232 131540 210464 263080 526160 1052320 1190437 2380874 4761748 5952185 9523496 11904370 19046992 23808740 38093984 47617480 95234960 190469920