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190480896 = 29351531
BaseRepresentation
bin10110101101010…
…00001000000000
3111021102102200000
423112220020000
5342230342041
630522400000
74502026614
oct1326501000
9437372600
10190480896
1198581131
1253960000
13306035b8
141b425344
1511ac8bb6
hexb5a8200

190480896 has 120 divisors (see below), whose sum is σ = 570473904. Its totient is φ = 63452160.

The previous prime is 190480891. The next prime is 190480931. The reversal of 190480896 is 698084091.

190480896 is a `hidden beast` number, since 1 + 90 + 480 + 89 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (190480891) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123651 + ... + 125181.

Almost surely, 2190480896 is an apocalyptic number.

190480896 is a gapful number since it is divisible by the number (16) 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 190480896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285236952).

190480896 is an abundant number, since it is smaller than the sum of its proper divisors (379993008).

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

190480896 is an frugal number, since it uses more digits than its factorization.

190480896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564 (or 1536 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 190480896 is about 13801.4816595900. The cubic root of 190480896 is about 575.3743206025.

The spelling of 190480896 in words is "one hundred ninety million, four hundred eighty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1152 1296 1531 1536 1728 1944 2304 2592 3062 3456 3888 4593 4608 5184 6124 6912 7776 9186 10368 12248 13779 13824 15552 18372 20736 24496 27558 31104 36744 41337 41472 48992 55116 62208 73488 82674 97984 110232 124011 124416 146976 165348 195968 220464 248022 293952 330696 372033 391936 440928 496044 587904 661392 744066 783872 881856 992088 1175808 1322784 1488132 1763712 1984176 2351616 2645568 2976264 3527424 3968352 5291136 5952528 7054848 7936704 10582272 11905056 15873408 21164544 23810112 31746816 47620224 63493632 95240448 190480896